Mathematics â€ș Geometry and Topology

Geometric and Algebraic Topology

Description

This cluster of papers explores the intersection of symplectic topology, knot invariants, and related areas such as holomorphic disks, Floer homology, contact geometry, group theory, hyperbolic manifolds, quantum topology, braid groups, and the study of protein knotting.

Keywords

Symplectic Topology; Knot Invariants; Holomorphic Disks; Floer Homology; Contact Geometry; Group Theory; Hyperbolic Manifolds; Quantum Topology; Braid Groups; Protein Knotting

Most Cited Works

Action Title Date Authors
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Geometry of Discrete Groups 2006-11-27 Alan F. Beardon
The topology of four-dimensional manifolds 1982-01-01 Michael Freedman
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Combinatorial Group Theory 1990-01-01 Roger C. Lyndon Paul E. Schupp
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Asymptotic invariants of infinite groups 1993-01-01 Mikhael Gromov Graham A. Niblo Martin A. Roller
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Introduction: Motivation 2020-03-06 Chris Wendl
Contact Manifolds in Riemannian Geometry 1976-01-01 David E. Blair
Three-manifolds with positive Ricci curvature 1982-01-01 Richard S. Hamilton
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The geometry and topology of three-manifolds 1979-01-01 William P. Thurston
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4-Manifolds and Kirby Calculus 1999-08-31 Robert E. Gompf AndrĂĄs I. Stipsicz
Lectures on Quasiconformal Mappings 2006-07-14 Lars V. Ahlfors
Introduction to symplectic topology 2006-02-06 Dusa McDuff
Spaces of constant curvature 2010-12-01 Joseph A. Wolf
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Efficient group signature schemes for large groups 1997-01-01 Jan Camenisch Markus Stadler
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The algebraic theory of semigroups 1964-01-01 A. H. Clifford G. B. Preston
Riemannian Geometry of Contact and Symplectic Manifolds 2010-01-01 David E. Blair
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A Course in Metric Geometry 2001-06-12 Dmitri Burago Yuri Burago S. V. Ivanov
On the geometry and dynamics of diffeomorphisms of surfaces 1988-01-01 William P. Thurston
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Simple Word Problems in Universal Algebras 1983-01-01 Donald E. Knuth PETER B. BENDIX
Real hypersurfaces in complex manifolds 1974-01-01 Shiing-Shen Chern JĂŒrgen Moser
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Natural Operations in Differential Geometry 1993-01-01 Ivan Koláƙ Jan Slovák Peter W. Michor
Quantum field theory and the Jones polynomial 1989-09-01 Edward Witten
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Hirshfeld surface analysis 2008-11-21 Mark A. Spackman Dylan Jayatilaka
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State sum invariants of 3-manifolds and quantum 6j-symbols 1992-10-01 Vladimir G. Turaev Oleg Viro
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Pseudo holomorphic curves in symplectic manifolds 1985-06-01 M. Gromov
Infinitesimal computations in topology 1977-12-01 Dennis Sullivan
Three dimensional manifolds, Kleinian groups and hyperbolic geometry 1982-05-01 William P. Thurston
The Geometries of 3-Manifolds 1983-09-01 Peter Scott
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Invariants of 3-manifolds via link polynomials and quantum groups 1991-12-01 Nicolai Reshetikhin Vladimir G. Turaev
A new polynomial invariant of knots and links 1985-01-01 Peter Freyd David N. Yetter Jim Hoste W. B. R. Lickorish Kenneth C. Millett Adrian Ocneanu
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The Geometry of Moduli Spaces of Sheaves 1997-01-01 Daniel Huybrechts Manfred Lehn
On the Vassiliev knot invariants 1995-04-01 Dror Bar-Natan
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Ribbon graphs and their invaraints derived from quantum groups 1990-01-01 Nicolai Reshetikhin Vladimir G. Turaev
A polynomial invariant for knots via von Neumann algebras 1985-01-01 Vaughan F. R. Jones
Foundations of Hyperbolic Manifolds 2006-11-27 John G. Ratcliffe
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Strings on orbifolds 1985-01-01 Lance J. Dixon Jeffrey A. Harvey Cumrun Vafa Edward Witten
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Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles 1985-01-01 Simon Donaldson
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How to Leak a Secret 2001-01-01 Ronald L. Rivest Adi Shamir Yael Tauman
Homological Algebra of Mirror Symmetry 1995-01-01 Maxim Kontsevich
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Metric Spaces of Non-Positive Curvature 1999-01-01 Martin R. Bridson André Haefliger
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State models and the jones polynomial 1987-01-01 Louis H. Kauffman
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Virtual Knot Theory 1999-10-01 Louis H. Kauffman
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Short Group Signatures 2004-01-01 Dan Boneh Xavier Boyen Hovav Shacham
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Group signatures 1991-04-08 David Chaum EugĂšne van Heyst
A strong coupling test of S-duality 1994-12-01 Cumrun Vafa Edward Witten
Heterotic and Type I string dynamics from eleven dimensions 1996-02-01 Petr Hoƙava Edward Witten
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Group Signatures 1991-01-01 David Chaum EugĂšne van Heyst
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Hyperbolic Groups 1987-01-01 M. Gromov
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Cohomology of Groups 1982-01-01 Kenneth S. Brown
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A Primer on Mapping Class Groups (PMS-49) 2017-10-19 Benson Farb Dan Margalit
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The Geometry of Four-Manifolds 1990-09-13 Simon Donaldson P. B. Kronheimer

Most Recent Works

Action Title Date Authors
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Complementation of subquandles 2025-04-28 Kieran Amsberry August Bergquist Thomas Horstkamp M. Howard Lee David N. Yetter
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The 2-rank of finite groups acting on hyperelliptic 3-manifolds 2025-04-29 Max Leopold Friseh Sbarra Mattia Mecchia
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The width of embedded circles 2025-04-29 Lucas Ambrozio Rafael Montezuma Roney Santos
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Corrigendum to “Noncoprime action of a cyclic group” [J. Algebra 643 (2024) 1–10] 2025-04-29 GĂŒlı̇n Ercan İsmaı̇l ƞ. GĂŒloğlu
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Projection algebras and free projection- and idempotent-generated regular ⁎-semigroups 2025-04-29 James East Robert D. Gray P. A. Azeef Muhammed Nik Ruơkuc
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On a Rice theorem for dynamical properties of SFTs on groups 2025-04-29 Nicanor Carrasco-Vargas
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On isotropy fields of 𝑆𝑝𝑖𝑛(18)-torsors 2025-04-29 Nikita A. Karpenko
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On the growth of the number of prime knots 2025-04-29 А. И. АлДĐșсДДĐČ A. M. Vershik A. V. Malyutin
Strong cohomological rigidity of Bott manifolds 2025-04-29 Suyoung Choi Taekgyu Hwang Hyeontae Jang
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Uncountable extended residually finite groups 2025-04-30 Maria De Falco Carmela Musella Antonella Zaccardo
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Simple closed curves, non‐kernel homology and Magnus embedding 2025-04-30 Adam Klukowski
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The sl(2)-weight system at c = 3/8 for graphs 2025-05-01 Daniil Fomichev Maksim Karev
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Cocycles in Lie Groups, Cochains and Regularity Problem 2025-05-01 Maria Laureano
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Levi classes of quasivarieties of 2-nilpotent groups 2025-05-02 S. A. Shakhova
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The finite groups with three automorphism orbits 2025-05-01 Cai Heng Li Yan Zhou Zhu
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Emergence of nodal-knot transitions by disorder 2025-05-01 Ming Gong Peng-Lu Zhao Hai-Zhou Lu Qian Niu Xin Xie
Embedding periodic maps of surfaces into those of spheres with minimal dimensions 2025-04-29 Chao Wang Shicheng Wang Zhongzi Wang
Schwarz symmetrizations in parabolic equations on complete manifolds 2025-04-30 Haiqing Cheng Tengfei Ma Kui Wang
Coloring torus knots by conjugation quandles 2025-04-30 Filippo Spaggiari
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A saturated 1-system of curves on the surface of genus 3 2025-05-03 Zhaoshen Zhai
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Spectrally distinguishing symmetric spaces I 2025-05-03 Emilio A. Lauret Juan SebastiĂĄn RodrĂ­guez
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Uniformly polynomial-time classification of surface homeomorphisms 2025-05-03 Filippo Baroni
Optimal metrics for the first curl eigenvalue on 3-manifolds 2025-05-05 Alberto Enciso Wadim Gerner Daniel Peralta‐Salas
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Fixed‐point ratios, Sylow numbers, and coverings of p$p$‐elements in finite groups 2025-05-01 Robert M. Guralnick Attila MarĂłti Juan JosĂ© Prieto MartĂ­nez Alexander MoretĂł Noelia Rizo
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Dynamical properties of the Takagi map and its partial sums 2025-05-05 Jonathan Hoseana
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Groups with triangle‐free graphs on p$p$‐regular classes 2025-05-04 MarĂ­a JosĂ© Felipe M. K. Jean‐Philippe VĂ­ctor Sotomayor
Remarks on the $$\mathbb {Z}/p$$ Dijkgraaf-Witten Invariants of 3D Mapping Tori 2025-05-01 William Chen Alex Kontorovich Shehryar Sikander
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Eigenvalues and spectral gap in sparse random simplicial complexes 2025-05-01 Shaked Leibzirer Ron Rosenthal
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Uniformly semi-rational simple groups 2025-05-06 Marco Vergani
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Poincaré Type Results on a k-Dimensional Torus 2025-05-01 Lev Sakhnovich
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A precise determination of the contact CR $$\delta $$-invariant for typical submanifolds within a Lorentz-Sasakian space form 2025-05-06 Octavian Postavaru Ion Mihai
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Planar Equivalence of Knotoids and Quandle Invariants 2025-05-01 Mohamed Elhamdadi Wout Moltmaker Masahico Saito
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Closing star-free closure 2025-05-06 Thomas Place Marc Zeitoun
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Effectivity for existence of rational points is undecidable 2025-05-01 Natalia Garcia‐Fritz HĂ©ctor PastĂ©n Xavier Vidaux
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Restricted free products of Demushkin groups of rank â„”0 as absolute Galois groups 2025-05-01 Tamar Bar‐On
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3-Selmer groups, ideal class groups and the cube sum problem 2025-05-01 Somnath Jha Dipramit Majumdar Pratiksha Shingavekar
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Non-compact Einstein manifolds with unimodular isometry group 2025-05-06 Christoph Böhm R Lafuente
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On the Dynamical Mordell–Lang Conjecture in Positive Characteristic 2025-05-01 Junyi Xie She Yang
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GEOMETRIC MODELS FOR TWISTED ℝ/â„€-K-HOMOLOGY 2025-05-01 Abdelkhalek Hboussa Mohamed Maghfoul
Spectral decomposition and Siegel–Veech transforms for strata: the case of marked tori 2025-05-07 Jayadev S. Athreya Jean LagacĂ© Martin Möller Martin Raum
Monge–Ampùre geometry and the Eady problem 2025-05-01 Roberto D’Onofrio G. Ortenzi Ian Roulstone
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Zeta Functions of Geometrically Finite Graphs of Groups 2025-05-07 Soon-Ki Hong Sanghoon Kwon
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Sphere bundles over 4-manifolds are trivial after looping 2025-05-07 Ruizhi Huang
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Finite Groups with Geodetic Cayley Graphs 2025-05-07 Murray Elder Adam Piggott Florian Stober Alexander Thumm A. Weiss
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What a set is: the V-view 2025-05-08 W. Hugh Woodin
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On the boundary criterion for relative cubulation: Multiended parabolics 2025-05-08 Eduard Einstein Suraj Krishna M S Thomas Ng
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A Rasmussen invariant for links in ℝℙ³ 2025-05-09 Ciprian Manolescu Michael Willis
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Colored sl(N) homology and SU(N) representations 2025-05-09 Joshua Wang
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On the connections between the low dimensional homology groups of SL <sub>2</sub> and PSL <sub>2</sub> 2025-05-10 Behrooz Mirzaii Elvis Torres Pérez
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Classification of <i>λ</i> -homomorphic braces on â„€ <sup>2</sup> 2025-05-10 Timur Nasybullov I. Novikov