Jie Wu

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All published works

Action	Title	Year	Authors
+ PDF Chat	Cohomotopy Sets of $(n-1)$-connected $(2n+2)$-manifolds for small $n$	2024	Pengcheng Li Jianzhong Pan Jie Wu
+	Knot data analysis using multiscale Gauss link integral	2024	Li Shen Hongsong Feng Fengling Li Fengchun Lei Jie Wu Guo‐Wei Wei
+ PDF Chat	Harnessing Large Language Models for Multimodal Product Bundling	2024	Xiaohao Liu Jie Wu Zhulin Tao Yunshan Ma Yinwei Wei Tat‐Seng Chua
+ PDF Chat	On the extension problems for the 33-stem homotopy groups of the 6-, 7- and 8-spheres	2024	Juxin Yang Jie Wu
+	Tensor Algebras over the Steenrod Algebra	2024	H. E. A. Campbell Paul Selick Jie Wu
+ PDF Chat	On Topological Representation Theory from Quivers	2024	Fang Li Zhihao Wang Jie Wu Bin Yu
+ PDF Chat	Homotopy Groups and Puppe Sequence of Digraphs	2024	J. Li Jie Wu Shing‐Tung Yau Mengmeng Zhang
+	Path Topology in Molecular and Materials Sciences	2023	Dong Chen Jian Liu Jie Wu Guo‐Wei Wei Feng Pan Shing‐Tung Yau
+	The magnitude homology of a hypergraph	2023	Wanying Bi J. Li Jie Wu
+ PDF Chat	Persistent hyperdigraph homology and persistent hyperdigraph Laplacians	2023	Dong Chen Jian Liu Jie Wu Guo‐Wei Wei
+	The subdivision of hypergraphs	2023	Jian Liu Ran Liu Jie Wu
+ PDF Chat	On modular cohomotopy groups	2022	Pengcheng Li Jianzhong Pan Jie Wu
+ PDF Chat	The embedded homology of hypergraph pairs	2022	Shiquan Ren Jie Wu Mengmeng Zhang
+	The Twisted Homology of Simplicial Set	2022	Meng Meng Zhang Jing Yan Li Jie Wu
+ PDF Chat	Maps on random hypergraphs and random simplicial complexes	2022	Shiquan Ren Chengyuan Wu Jie Wu
+	On homotopy braids	2022	Valeriy G. Bardakov Vladimir Vershinin Jie Wu
+ PDF Chat	Computational Tools in Weighted Persistent Homology	2021	Shiquan Ren Chengyuan Wu Jie Wu
+	Relative Embedded Homology of Hypergraphs	2021	Shiquan Ren Jie Wu Mengmeng Zhang
+	A Unified Topological Approach to Data Science	2021	Jelena Grbić Jie Wu Kelin Xia Guo‐Wei Wei
+	On The Discrete Morse Functions for Hypergraphs	2021	Shiquan Ren Chong Wang Chengyuan Wu Jie Wu
+	The Embedded Homology of Hypergraph Pairs	2021	Shiquan Ren Jie Wu Mengmeng Zhang
+	On homotopy braids	2020	В. Г. Бардаков V. V. Vershinin Jie Wu
+ PDF Chat	On virtual cabling and a structure of 4-strand virtual pure braid group	2020	Valeriy G. Bardakov Jie Wu
+ PDF Chat	Weighted Fundamental Group	2020	Chengyuan Wu Shiquan Ren Jie Wu Kelin Xia
+	Cohomology of manifold arrangements	2020	Jun‐Da Chen Zhi Lü Jie Wu
+ PDF Chat	Weighted persistent homology for biomolecular data analysis	2020	Zhenyu Meng D. Vijay Anand Yunpeng Lu Jie Wu Kelin Xia
+ PDF Chat	Combinatorics of double loop suspensions, evaluation maps and Cohen groups	2020	Ruizhi Huang Jie Wu
+	The stability of persistent homology of hypergraphs	2020	Shiquan Ren Jie Wu
+	Lifting theorem for the virtual pure braid groups	2020	Valeriy G. Bardakov Jie Wu
+	On topological representation theory from quivers	2020	Fang Li Zhihao Wang Jie Wu Bin Yu
+	Cohomology ring of manifold arrangements	2020	Jun‐Da Chen Zhi Lü Jie Wu
+	On homotopy braids	2020	В. Г. Бардаков V. V. Vershinin Jie Wu
+	Discrete Morse theory for weighted simplicial complexes	2019	Chengyuan Wu Shiquan Ren Jie Wu Kelin Xia
+ PDF Chat	Orbit configuration spaces of small covers and quasi-toric manifolds	2019	Jun‐Da Chen Zhi Lü Jie Wu
+ PDF Chat	Exponential growth of homotopy groups of suspended finite complexes	2019	Ruizhi Huang Jie Wu
+ PDF Chat	A simplicial James–Hopf map and decompositions of the unstable Adams spectral sequence for suspensions	2019	Fedor Pavutnitskiy Jie Wu
+ PDF Chat	Topological complexity of the work map	2019	Aniceto Murillo Jie Wu
+	Weighted persistent homology for biomolecular data analysis	2019	Zhenyu Meng D. Vijay Anand Yunpeng Lu Jie Wu Kelin Xia
+	On virtual cabling and structure of 4-strand virtual pure braid group	2019	Valeriy G. Bardakov Jie Wu
+ PDF Chat	The embedded homology of hypergraphs and applications	2019	Stéphane Bressan Jingyan Li Shiquan Ren Jie Wu
+	Weighted Path homology of Weighted Digraphs and Persistence	2019	Yong Lin Shiquan Ren Chong Wang Jie Wu
+ PDF Chat	Anick spaces and Kac–Moody groups	2018	Stephen Theriault Jie Wu
+ PDF Chat	Weighted persistent homology	2018	Shiquan Ren Chengyuan Wu Jie Wu
+	Gnk-groups for simplicial complexes and the word problem on G2(K)	2018	Vassily Olegovich Manturov Jie Wu
+	On homotopy aspects and cablings of virtual pure braid groups	2018	Valeriy G. Bardakov Roman Mikhailov Jie Wu
+ PDF Chat	Cancellation and homotopy rigidity of classical functors	2018	Ruizhi Huang Jie Wu
+ PDF Chat	Relative homotopy abelian H-spaces	2018	Stephen Theriault Jie Wu
+	Local uniqueness of certain geodesics related to Heegaard splittings	2018	Liang Liang Fengling Li Fengchun Lei Jie Wu
+	Evolutions of hypergraphs and their embedded homology	2018	Shiquan Ren Chengyuan Wu Jie Wu
+ PDF Chat	Leibniz Rule on Higher Pages of Unstable Spectral Sequences	2018	Sergei O. Ivanov Roman Mikhailov Jie Wu
+ PDF Chat	Cobordism classes of maps and covers for spheres	2018	Oleg R. Musin Jie Wu
+ PDF Chat	A combinatorial approach to the exponents of Moore spaces	2018	Fred Cohen Roman Mikhailov Jie Wu
+	Weighted (Co)homology and Weighted Laplacian	2018	Chengyuan Wu Shiquan Ren Jie Wu Kelin Xia
+	Weighted Fundamental Group	2018	Chengyuan Wu Shiquan Ren Jie Wu Kelin Xia
+	Hodge Decompositions for Weighted Hypergraphs	2018	Shiquan Ren Chengyuan Wu Jie Wu
+	A Discrete Morse Theory for Hypergraphs	2018	Shiquan Ren Chong Wang Chengyuan Wu Jie Wu
+	Operators on random hypergraphs and random simplicial complexes	2017	Shiquan Ren Chengyuan Wu Jie Wu
+	Further Properties and Applications of Weighted Persistent Homology	2017	Shiquan Ren Chengyuan Wu Jie Wu
+	Combinatorial and Toric Homotopy: Introductory Lectures	2017	Alastair Darby Jelena Grabić Zhi Lü Jie Wu
+ PDF Chat	On mod p Ap–spaces	2017	Ruizhi Huang Jie Wu
+	Combinatorial and Toric Homotopy	2017	Alastair Darby Jelena Grbić Zhi Lü Jie Wu
+	Homotopy classes of covers and maps	2017	Oleg R. Musin Jie Wu
+	C-homotopy classes of maps and covers	2017	Oleg R. Musin Jie Wu
+	Homotopy theory and generalized dimension subgroups	2017	Sergei O. Ivanov Roman Mikhailov Jie Wu
+ PDF Chat	Stable functorial decompositions of F(ℝn+1,j)+∧ΣjX(j)	2017	Jie Wu Zihong Yuan
+	On ${\rm mod}~p$ $A_p$-spaces	2017	Ruizhi Huang Jie Wu
+	Computing the Homology of Hypergraphs	2017	Shiquan Ren Chengyuan Wu Stéphane Bressan Jie Wu
+	Combinatorics of double loop suspensions, evaluation maps and Cohen groups	2017	Ruizhi Huang Jie Wu
+	Topological complexity of the work map	2017	Aniceto Murillo Jie Wu
+	Weighted Persistent Homology	2017	Shiquan Ren Chengyuan Wu Jie Wu
+	On a certain non-split cubic surface	2017	Régis de la Bretèche Jianya Liu Jie Wu Yongqiang Zhao
+	Cobordism classes of maps and covers for spheres	2017	Oleg R. Musin Jie Wu
+	Computational Tools in Weighted Persistent Homology	2017	Shiquan Ren Chengyuan Wu Jie Wu
+	Manin's conjecture for a class of singular cubic hypersurfaces	2017	Jianya Liu Jie Wu Yongqiang Zhao
+ PDF Chat	Twisted simplicial groups and twisted homology of categories	2017	J. Y. Li V. V. Vershinin Jie Wu
+	On ${\rm mod}~p$ $A_p$-spaces	2017	Ruizhi Huang Jie Wu
+	3-Manifold invariants derived from the intersecting kernels	2016	Fengling Li Fengchun Lei Jie Wu
+	On the unknotting number of a welded knot	2016	Zhiguo Li Fengchun Lei Jie Wu
+ PDF Chat	Loop homological invariants associated to real projective spaces	2016	Man Gao Colin Tan Jie Wu
+ PDF Chat	On the metastable homotopy of mod 2 Moore spaces	2016	Roman Mikhailov Jie Wu
+ PDF Chat	On intersecting subgroups of Brunnian link groups	2016	Fengchun Lei Jie Wu Yu Zhang
+ PDF Chat	On the Pure Virtual Braid Group<i>PV</i><sub>3</sub>	2016	В. Г. Бардаков Roman Mikhailov V. V. Vershinin Jie Wu
+ PDF Chat	On nontriviality of certain homotopy groups of spheres	2016	Sergei O. Ivanov Roman Mikhailov Jie Wu
+	The Embedded Homology of Hypergraphs and Applications	2016	Stéphane Bressan J. Li Shiquan Ren Jie Wu
+	The Symmetric Commutator Homology of Link Towers and Homotopy Groups of 3-Manifolds	2015	Fuquan Fang Fengchun Lei Jie Wu
+ PDF Chat	The homotopy types of moment-angle complexes for flag complexes	2015	Jelena Grbić Taras Panov Stephen Theriault Jie Wu
+ PDF Chat	The Homotopy Type of a Poincaré Duality Complex After Looping	2015	Piotr Beben Jie Wu
+	Brunnian braids and Lie algebras	2015	J.Y. Li V. V. Vershinin Jie Wu
+	On nontriviality of homotopy groups of spheres	2015	Sergei O. Ivanov Roman Mikhailov Jie Wu
+	Composition on unstable spectral sequences	2015	Sergei O. Ivanov Roman Mikhailov Jie Wu
+ PDF Chat	Simplicial monoid actions and associated monoid constructions	2015	Man Gao Jie Wu
+	On homotopy rigidity of the functor ΣΩ on co-H-spaces	2015	Jelena Grbić Jie Wu
+	Some Problems on Knots, Braids, and Automorphism Groups	2015	Valeriy G. Bardakov Krishnendu Gongopadhyay Mahender Singh Andreĭ Vesnin Jie Wu
+	A combinatorial approach to the exponents of Moore spaces	2015	Fred Cohen Roman Mikhailov Jie Wu
+	Brunnian Braids and Lie Algebras	2015	J.Y. Li V. V. Vershinin Jie Wu
+	Twisted Simplicial Groups and Twisted Homology of Categories	2015	J. Y. Li V. V. Vershinin Jie Wu
+	Leibniz rule on higher pages of unstable spectral sequences	2015	Sergei O. Ivanov Roman Mikhailov Jie Wu
+	Homotopy theory and generalized dimension subgroups	2015	Sergei O. Ivanov Roman Mikhailov Jie Wu
+	On Cohen braids	2014	В. Г. Бардаков V. V. Vershinin Jie Wu
+	Admissible linear estimators of multivariate regression coefficient with respect to an inequality constraint under matrix balanced loss function	2014	Daojiang He Jie Wu
+	Suspension splittings and James–Hopf invariants	2014	Jelena Grbić Stephen Theriault Jie Wu
+	Non-vanishing and sign changes of Hecke eigenvalues for Siegel cusp forms of genus two (with an Appendix by E. Kowalski and A. Saha)	2014	Emmanuel Royer Jyoti Sengupta Jie Wu
+	On Cohen braids	2013	В. Г. Бардаков Vladimir Vershinin Jie Wu
+	On simplicial resolutions of framed links	2013	Fengchun Lei Fengling Li Jie Wu
+	Delta-structures on mapping class groups and braid groups	2013	A. J. Berrick Elizabeth Hanbury Jie Wu
+ PDF Chat	Decomposition of loop spaces and periodic problem on<i>π</i><sub>∗</sub>	2013	Weidong Chen Jie Wu
+ PDF Chat	Homology decompositions of the loops on 1–stunted Borel constructions of<i>C</i><sub>2</sub>–actions	2013	Man Gao Jie Wu
+	Homotopy groups as centres of finitely presented groups	2013	Jie Wu Roman Mikhailov
+	Brunnian subgroups of mapping class groups and braid groups	2013	A. J. Berrick Elizabeth Hanbury Jie Wu
+ PDF Chat	Combinatorial group theory and the homotopy groups of finite complexes	2013	Roman Mikhailov Jie Wu
+	Simplicial Monoid Actions and The Associated Universal Simplicial Monoid Construction	2013	Man Gao Jie Wu
+ PDF Chat	Гомотопические группы как центры конечно представленных групп	2013	Джи Ву Jie Wu Roman Mikhailov Roman Mikhailov
+	On Cohen braids	2013	В. Г. Бардаков Vladimir Vershinin Jie Wu
+	Homotopy types of moment-angle complexes	2012	Jelena Grbić Taras Panov Stephen Theriault Jie Wu
+	Decomposition of loop spaces and periodic problem on $\pi_*$	2012	Weidong Chen Jie Wu
+	Decompositions of looped co-𝐻-spaces	2012	Jelena Grbić Stephen Theriault Jie Wu
+ PDF Chat	Brunnian braids on surfaces	2012	В. Г. Бардаков Roman Mikhailov Vladimir Vershinin Jie Wu
+	Rank p − 1 mod-p H-spaces	2012	Jelena Grbić John R. Harper Mamoru Mimura Stephen Theriault Jie Wu
+ PDF Chat	Modular representations and the homotopy of low rank p-local CW-complexes	2012	Piotr Beben Jie Wu
+	Homotopy types of moment-angle complexes for flag complexes	2012	Jelena Grbić Taras Panov Stephen Theriault Jie Wu
+	Decomposition of loop spaces and periodic problem on $π_*$	2012	Weidong Chen Jie Wu
+ PDF Chat	Module structure on Lie powers and natural coalgebra-split sub-Hopf algebras of tensor algebras	2011	J. Y. Li Feng Chun Lei Jie Wu
+ PDF Chat	The intersecting kernels of Heegaard splittings	2011	Fengchun Lei Jie Wu
+ PDF Chat	On symmetric commutator subgroups, braids, links and homotopy groups	2011	J. Y. Li Jie Wu
+	The Homotopy Type of a Poincaré Duality Complex after Looping	2011	Piotr Beben Jie Wu
+	Homotopy groups as centers of finitely presented groups	2011	Roman Mikhailov Jie Wu
+	The Homotopy Type of a Poincaré Duality Complex after Looping	2011	Piotr Beben Jie Wu
+	A combinatorial description of homotopy groups of spheres	2011	Roman Mikhailov Jie Wu
+	Orbit configuration spaces of small covers and quasi-toric manifolds	2011	Jun‐Da Chen Zhi Lü Jie Wu
+ PDF Chat	The functor A min for (p − 1)-cell complexes and EHP sequences	2010	Jie Wu
+ PDF Chat	Symmetric ideals in group rings and simplicial homotopy	2010	Roman Mikhailov Inder Bir S. Passi Jie Wu
+	Coefficients of symmetric square L-functions	2010	Yuk-Kam Lau Jianya Liu Jie Wu
+	ARTIN'S BRAID GROUPS, FREE GROUPS, AND THE LOOP SPACE OF THE 2-SPHERE	2010	Fred Cohen Jie Wu
+ PDF Chat	On homotopy groups of the suspended classifying spaces	2010	Roman Mikhailov Jie Wu
+	Decompositions of looped co-H-spaces and applications	2010	J. Grbi Stephen Theriault Jie Wu
+	On symmetric commutator subgroups, braids, links and homotopy groups	2010	J. Y. Li Jie Wu
+	Symmetric ideals in group rings and simplicial homotopy	2010	Roman Mikhailov Inder Bir S. Passi Jie Wu
+	Module Structure on Lie Powers and Natural Coalgebra-Split Sub Hopf Algebras of Tensor Algebras	2010	J. Li Feng Chun Lei Jie Wu
+	The Functor $A^{\min}$ for $(p-1)$-cell Complexes and $\EHP$ Sequences	2010	Jie Wu
+	Modular representations and the homotopy of low rank $p$-local $CW$-complexes	2010	Piotr Beben Jie Wu
+	SIMPLICIAL OBJECTS AND HOMOTOPY GROUPS	2009	Jie Wu
+	Braids	2009	A. J. Berrick Fred Cohen Elizabeth Hanbury Yan-Loi Wong Jie Wu
+	Functorial homotopy decompositions of looped co-H spaces	2009	Paul Selick Stephen Theriault Jie Wu
+	Artin braid groups and homotopy groups	2009	Jingyan Li Jie Wu
+	On Brunnian-type links and the link invariants given by homotopy groups of spheres	2009	Jie Wu
+	On homotopy groups of the suspended classifying spaces	2009	Roman Mikhailov Jie Wu
+	On the pure virtual braid group $PV_3$	2009	В. Г. Бардаков Roman Mikhailov V. V. Vershinin Jie Wu
+	Brunnian Braids on Surfaces	2009	В. Г. Бардаков Roman Mikhailov V. V. Vershinin Jie Wu
+	Some calculations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mstyle mathvariant="normal"><mml:mi>Lie</mml:mi></mml:mstyle><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi>n</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>max</mml:mo></mml:mrow></mml:msup></mml:math> for low <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mi>n</mml:…	2008	Paul Selick Jie Wu
+ PDF Chat	The decomposition of the loop space of the mod 2 Moore space	2008	Jelena Grbić Paul Selick Jie Wu
+ PDF Chat	Basis-conjugating automorphisms of a free group and associated Lie algebras	2008	Fred Cohen Jonathan Pakianathan V. V. Vershinin Jie Wu
+	On braid groups and homotopy groups	2008	Fred Cohen Jie Wu
+	Groups, homotopy and configuration spaces: Proceedings of the conference in honor of the 60th birthday of Fred Cohen held at the University of Tokyo, Tokyo, July 5–11, 2005.	2008	Ran Levi Norio Iwase Toshitake Kono Dai Tamaki Jie Wu
+	Almost prime values of the order of elliptic curves over finite fields	2008	Chantal David Jie Wu
+	Groups, homotopy and configuration spaces (Tokyo 2005)	2008	則夫岩瀬俊丈河野 Ran Levi 大玉木 Jie Wu
+ PDF Chat	Applications of combinatorial groups to Hopf invariant and the exponent problem	2006	Jelena Grbić Jie Wu
+ PDF Chat	Natural transformations of tensor algebras and representations of combinatorial groups	2006	Jelena Grbić Jie Wu
+ PDF Chat	Functorial Decompositions of Looped Coassociative Co-<i>H</i> Spaces	2006	Paul Selick Stephen Theriault Jie Wu
+	The functor A min on p-local spaces	2006	Paul Selick Jie Wu
+	Applications of combinatorial groups to the Hopf invariants and the exponent problem	2006	Jelena Grbić Jie Wu
+	On maps from loop suspensions to loop spaces and the shuffle relations on the Cohen groups	2006	Jie Wu
+	The universality of symmetric power L-functions and their Rankin-Selberg L-functions	2006	Hongze Li Jie Wu
+ PDF Chat	Configurations, braids, and homotopy groups	2005	A. J. Berrick Fred Cohen Yan Loi Wong Jie Wu
+	Braid groups, free groups, and the loop space of the 2-sphere	2004	Fred Cohen Jie Wu
+	On functorial decompositions of self-smash products	2003	Paul Selick Jie Wu
+	Homotopy theory of the suspensions of the projective plane	2003	Jie Wu
+	On Braid Groups, Free Groups, and the Loop Space of the 2-Sphere	2003	Fred Cohen Jie Wu
+ PDF Chat	On co-H-maps to the suspension of the projective plane	2002	Jie Wu
+ PDF Chat	A BRAIDED SIMPLICIAL GROUP	2002	Jie Wu
+	On the Primitive Circle Problem	2002	Jie Wu
+ PDF Chat	On the Hodge decomposition of differential graded bi-algebras	2001	Jie Wu Murray Gerstenhaber James Stasheff
+ PDF Chat	Combinatorial descriptions of homotopy groups of certain spaces	2001	Jie Wu
+	On Co-H-maps to the Suspension of the Projective Plane	2001	Jie Wu
+	On products on minimal simplicial sets	2000	Jie Wu
+	On natural coalgebra decompositions of tensor algebras and loop suspensions	2000	Paul Selick Jie Wu
+	A braided simplicial group	2000	Jie Wu
+	On the homology of configuration spaces $ C((M,M_0) \times R^n; X)$	1998	Jie Wu
+	On fibrewise simplicial monoids and Milnor–Carlsson’s constructions	1998	Jie Wu
+	On combinatorial calculations for the James–Hopf maps	1998	Jie Wu
+	A product decomposition of P	1998	Jie Wu
+	A Product Decomposition of $\Omega^3_0\Sigma${\bf R}$P^2$	1995	Jie Wu
+	On Combinatorial Descriptions of Homotopy Groups of $ΣK(π,1)$	1995	Jie Wu
+ PDF Chat	Problème de diviseurs exponentiels et entiers exponentiellement sans facteur carré	1995	Jie Wu
+	On Combinatorial Calculations for the James--Hopf maps	1995	Jie Wu
+	On the Homology of Configuration Spaces $C((M,M_o)\times {\bold R}^n; X)$	1995	Jie Wu
+	A remark on the homotopy groups of Σⁿ𝑅𝑃²	1995	F. R. Cohen Jie Wu
+	A Product Decomposition of $Ω^3_0Σ${\bf R}$P^2$	1995	Jie Wu
+	On clique partitions of split graphs	1991	W. D. Wallis Jie Wu

Common Coauthors

Coauthor	Papers Together
Roman Mikhailov	24
Shiquan Ren	23
Chengyuan Wu	16
Jelena Grbić	13
V. V. Vershinin	11
Stephen Theriault	11
Fred Cohen	9
В. Г. Бардаков	9
Fengchun Lei	8
Paul Selick	8
Ruizhi Huang	7
Sergei O. Ivanov	7
Kelin Xia	7
Valeriy G. Bardakov	6
Zhi Lü	6
Piotr Beben	5
A. J. Berrick	4
Man Gao	4
Oleg R. Musin	4
Fengling Li	4
Jun‐Da Chen	4
Vladimir Vershinin	4
Elizabeth Hanbury	3
Chong Wang	3
J. Li	3
Mengmeng Zhang	3
Jianya Liu	3
Stéphane Bressan	3
J. Y. Li	3
Taras Panov	3
Feng Chun Lei	2
Alastair Darby	2
D. Vijay Anand	2
Guo‐Wei Wei	2
J.Y. Li	2
Inder Bir S. Passi	2
Jianzhong Pan	2
Ran Levi	2
Pengcheng Li	2
Yunpeng Lu	2
Weidong Chen	2
Shing‐Tung Yau	2
Jian Liu	2
Aniceto Murillo	2
Jingyan Li	2
Zhihao Wang	2
Zhenyu Meng	2
J. Y. Li	2
Dong Chen	2
Yongqiang Zhao	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On natural coalgebra decompositions of tensor algebras and loop suspensions	2000	Paul Selick Jie Wu	33
+	Torsion in Homotopy Groups	1979	Fred Cohen John C. Moore Joseph Neisendorfer	30
+	Simplicial homotopy theory	1968	Edward B. Curtis	23
+ PDF Chat	The mod-p lower central series and the Adams spectral sequence	1966	A. K. Bousfield Edward B. Curtis D Kan Daniel Quillen David L. Rector James W. Schlesinger	20
+	The functor A min on p-local spaces	2006	Paul Selick Jie Wu	19
+	On combinatorial calculations for the James–Hopf maps	1998	Jie Wu	18
+	Van Kampen theorems for diagrams of spaces	1987	Ronald Brown Jean-Louis Loday	18
+ PDF Chat	Configurations, braids, and homotopy groups	2005	A. J. Berrick Fred Cohen Yan Loi Wong Jie Wu	18
+ PDF Chat	On the Structure of Hopf Algebras	1965	John Milnor John C. Moore	17
+ PDF Chat	Combinatorial descriptions of homotopy groups of certain spaces	2001	Jie Wu	16
+	On combinatorial group theory in homotopy	1995	Fred Cohen	15
+	ARTIN'S BRAID GROUPS, FREE GROUPS, AND THE LOOP SPACE OF THE 2-SPHERE	2010	Fred Cohen Jie Wu	15
+	A Combinatorial Definition of Homotopy Groups	1958	Daniel M. Kan	15
+	On maps from loop suspensions to loop spaces and the shuffle relations on the Cohen groups	2006	Jie Wu	14
+	The Double Suspension and Exponents of the Homotopy Groups of Spheres	1979	Fred Cohen John C. Moore Joseph Neisendorfer	14
+	A colimit of classifying spaces	2009	Graham Ellis Roman Mikhailov	14
+	Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations	1966	Wilhelm Magnus A. Karrass D. Solitar	14
+ PDF Chat	A BRAIDED SIMPLICIAL GROUP	2002	Jie Wu	13
+	Algebraic topology	2001	Allen Hatcher	13
+ PDF Chat	On symmetric commutator subgroups, braids, links and homotopy groups	2011	J. Y. Li Jie Wu	13
+	Artin braid groups and homotopy groups	2009	Jingyan Li Jie Wu	12
+	Every connected space has the homology of a K(π,1)	1976	D Kan William P. Thurston	12
+	Simplicial homotopy theory	1971	Edward B. Curtis	12
+	Simplicial objects in algebraic topology	1993	J. P. May	11
+	On functorial decompositions of self-smash products	2003	Paul Selick Jie Wu	11
+ PDF Chat	A spectral sequence for the homotopy of nice spaces	1970	A. K. Bousfield Edward B. Curtis	11
+	Homotopy theory of the suspensions of the projective plane	2003	Jie Wu	11
+ PDF Chat	Functorial Decompositions of Looped Coassociative Co-<i>H</i> Spaces	2006	Paul Selick Stephen Theriault Jie Wu	11
+	Elements of Algebraic Topology	2018	James R. Munkres	10
+ PDF Chat	The embedded homology of hypergraphs and applications	2019	Stéphane Bressan Jingyan Li Shiquan Ren Jie Wu	10
+	COMPOSITION METHODS IN HOMOTOPY GROUPS OF SPHERES	1964	I. M. James	10
+ PDF Chat	Weighted persistent homology	2018	Shiquan Ren Chengyuan Wu Jie Wu	10
+ PDF Chat	Computing Persistent Homology	2004	Afra Zomorodian Gunnar Carlsson	10
+ PDF Chat	Brunnian braids on surfaces	2012	В. Г. Бардаков Roman Mikhailov Vladimir Vershinin Jie Wu	9
+	Functorial homotopy decompositions of looped co-H spaces	2009	Paul Selick Stephen Theriault Jie Wu	9
+	Homotopy Limits, Completions and Localizations	1972	A. K. Bousfield Daniel M. Kan	9
+	A remark on the homotopy groups of Σⁿ𝑅𝑃²	1995	F. R. Cohen Jie Wu	9
+	On fibrewise simplicial monoids and Milnor–Carlsson’s constructions	1998	Jie Wu	9
+	On braid groups and homotopy groups	2008	Fred Cohen Jie Wu	8
+	Combinatorial Group Theory.	1967	P. M. Cohn Wilhelm Magnus A. Karrass D. Solitar	8
+ PDF Chat	Primary homotopy theory	1980	Joseph Neisendorfer	8
+	Some Relations Between Homotopy and Homology	1965	Edward B. Curtis	8
+	Braids, Links, and Mapping Class Groups	1974	Joan S. Birman	8
+	Towards a characterization of smooth braids	1982	David Linton Johnson	7
+	Combinatorial Group Theory	1990	Roger C. Lyndon Paul E. Schupp	7
+ PDF Chat	TopologyNet: Topology based deep convolutional and multi-task neural networks for biomolecular property predictions	2017	Zixuan Cang Guo‐Wei Wei	7
+ PDF Chat	Homotopy Decompositions Involving the Loops of Coassociative Co-<i>H</i> Spaces	2003	Stephen Theriault	7
+	Elements of Homotopy Theory	1978	George W. Whitehead	7
+	On Homotopy Theory and C.S.S. Groups	1958	Daniel M. Kan	7
+	Spectra of combinatorial Laplace operators on simplicial complexes	2013	Danijela Horak Jürgen Jost	7