Zhizhang Xie

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All published works

Action	Title	Year	Authors
+	Scalar curvature rigidity of degenerate warped product spaces	2025	Jinmin Wang Zhizhang Xie
+ PDF Chat	$L^p$-coarse Baum--Connes conjecture for $\ell^{q}$-coarse embeddable spaces	2024	Jinmin Wang Zhizhang Xie Guoliang Yu Bo Zhu
+ PDF Chat	Equivalence of different definitions of higher $\rho$ invariants	2024	Hongzhi Liu Zhizhang Xie Guoliang Yu
+	Positive scalar curvature meets Ricci limit spaces	2024	Jinmin Wang Zhizhang Xie Bo Zhu Xingyu Zhu
+ PDF Chat	On Gromov’s compactness question regarding positive scalar curvature	2024	Shmuel Weinberger Zhizhang Xie Guoliang Yu
+	A proof of Gromov's cube inequality on scalar curvature	2024	Jinmin Wang Zhizhang Xie Guoliang Yu
+ PDF Chat	Scalar curvature rigidity of spheres with subsets removed and $L^\infty$ metrics	2024	Jinmin Wang Zhizhang Xie
+ PDF Chat	Scalar curvature rigidity of the four-dimensional sphere	2024	S. Cecchini Jinmin Wang Zhizhang Xie Bo Zhu
+	K-theory of relative group $$C^*$$-algebras and the relative Novikov conjecture	2024	Jintao Deng Geng Tian Zhizhang Xie Guoliang Yu
+ PDF Chat	Delocalized eta invariants, cyclic cohomology and higher rho invariants	2023	Xiaoman Chen Jinmin Wang Zhizhang Xie Guoliang Yu
+ PDF Chat	Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension	2023	Jinmin Wang Zhizhang Xie Guoliang Yu
+ PDF Chat	Approximations of delocalized eta invariants by their finite analogues	2023	Jinmin Wang Zhizhang Xie Guoliang Yu
+	A quantitative relative index theorem and Gromov’s conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie)	2023	Zhizhang Xie
+ PDF Chat	ℓ¹-higher index, ℓ¹-higher rho invariant and cyclic cohomology	2023	Jinmin Wang Zhizhang Xie Guoliang Yu
+ PDF Chat	Quantitative K-Theory, Positive Scalar Curvature, and Bandwidth	2023	Hao Guo Zhizhang Xie Guoliang Yu
+	Dihedral rigidity for submanifolds of warped product manifolds	2023	Jinmin Wang Zhizhang Xie
+	Scalar curvature rigidity of degenerate warped product spaces	2023	Jinmin Wang Zhizhang Xie
+	The Novikov conjecture, the group of diffeomorphisms and continuous fields of Hilbert-Hadamard spaces	2023	Sherry Gong Jianchao Wu Zhizhang Xie Guoliang Yu
+	On the relative Novikov conjecture for coarsely embeddable groups	2023	Geng Tian Zhizhang Xie Guoliang Yu
+	Filling Radius, Quantitative $K$-theory and Positive Scalar Curvature	2023	Jinmin Wang Zhizhang Xie Guoliang Yu Bo Zhu
+	A Lichnerowicz vanishing theorem for the maximal Roe algebra	2022	Hao Guo Zhizhang Xie Guoliang Yu
+	On Gromov's flat corner domination conjecture and Stoker's conjecture	2022	Jinmin Wang Zhizhang Xie
+	$l^1$-higher index, $l^1$-higher rho invariant and cyclic cohomology	2022	Jinmin Wang Zhizhang Xie Guoliang Yu
+	Rigidity of strictly convex domains in Euclidean spaces	2022	Jinmin Wang Zhizhang Xie
+	Positive Scalar Curvature Meets Ricci Limit Spaces	2022	Jinmin Wang Zhizhang Xie Bo Zhu Xingyu Zhu
+ PDF Chat	On the range of the relative higher index and the higher rho-invariant for positive scalar curvature	2021	Zhizhang Xie Guoliang Yu Rudolf Zeidler
+	An index theoretic proof of Gromov's cube inequality on scalar curvature	2021	Jinmin Wang Zhizhang Xie Guoliang Yu
+	A relative index theorem for incomplete manifolds and Gromov's conjectures on positive scalar curvature	2021	Zhizhang Xie
+ PDF Chat	Functoriality for higher rho invariants of elliptic operators	2021	Hao Guo Zhizhang Xie Guoliang Yu
+	Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension	2021	Jinmin Wang Zhizhang Xie Guoliang Yu
+	A quantitative relative index theorem and Gromov's conjectures on positive scalar curvature	2021	Zhizhang Xie
+	A proof of Gromov's cube inequality on scalar curvature	2021	Jinmin Wang Zhizhang Xie Guoliang Yu
+	$K$-theory of relative group $C^*$-algebras and the relative Novikov conjecture	2021	Jintao Deng Geng Tian Zhizhang Xie Guoliang Yu
+	On Gromov's dihedral extremality and rigidity conjectures	2021	Jinmin Wang Zhizhang Xie Guoliang Yu
+	On Gromov's compactness question regarding positive scalar curvature	2021	Shmuel Weinberger Zhizhang Xie Guoliang Yu
+ PDF Chat	Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds	2020	Shmuel Weinberger Zhizhang Xie Guoliang Yu
+	Approximations of delocalized eta invariants by their finite analogues	2020	Jinmin Wang Zhizhang Xie Guoliang Yu
+	Functoriality for higher rho invariants of elliptic operators	2020	Hao Guo Zhizhang Xie Guoliang Yu
+	Quantitative K-theory, positive scalar curvature, and band width	2020	Hao Guo Zhizhang Xie Guoliang Yu
+ PDF Chat	Delocalized Eta Invariants, Algebraicity, and <i>K</i>-Theory of Group <i>C</i>*-Algebras	2019	Zhizhang Xie Guoliang Yu
+	A Lichnerowicz Vanishing Theorem for the Maximal Roe Algebra	2019	Hao Guo Zhizhang Xie Guoliang Yu
+	Higher invariants in noncommutative geometry	2019	Zhizhang Xie Guoliang Yu
+	Higher invariants in noncommutative geometry	2019	Zhizhang Xie Guoliang Yu
+ PDF Chat	C∗–algebraic higher signatures and an invariance theorem in codimension two	2018	Nigel Higson Thomas Schick Zhizhang Xie
+	Delocalized eta invariants, algebraicity, and $K$-theory of group $C^*$-algebras	2018	Zhizhang Xie Guoliang Yu
+ PDF Chat	Fibrations and higher products in cohomology	2017	Alexander Gorokhovsky Zhizhang Xie
+ PDF Chat	Generalized Euler classes, differential forms and commutative DGAs	2017	Alexander Gorokhovsky Dennis Sullivan Zhizhang Xie
+	Generalized Euler classes, differential forms and commutative DGAs	2017	Alexander Gorokhovsky Dennis Sullivan Zhizhang Xie
+	Fibrations and higher products in cohomology	2017	Alexander Gorokhovsky Zhizhang Xie
+	Higher rho invariants and the moduli space of positive scalar curvature metrics	2016	Zhizhang Xie Guoliang Yu
+	Additivity of higher rho invariants and nonrigidity of topological manifolds	2016	Shmuel Weinberger Zhizhang Xie Guoliang Yu
+	Positive scalar curvature, higher rho invariants and localization algebras	2014	Zhizhang Xie Guoliang Yu
+	A relative higher index theorem, diffeomorphisms and positive scalar curvature	2013	Zhizhang Xie Guoliang Yu
+ PDF Chat	The odd-dimensional analogue of a theorem of Getzler and Wu	2013	Zhizhang Xie
+	Higher rho invariants and the moduli space of positive scalar curvature metrics	2013	Zhizhang Xie Guoliang Yu
+	Positive scalar curvature, higher rho invariants and localization algebras	2013	Zhizhang Xie Guoliang Yu
+	A relative higher index theorem, diffeomorphisms and positive scalar curvature	2012	Zhizhang Xie Guoliang Yu
+	Analogues of eta invariants for even dimensional manifolds	2011	Zhizhang Xie
+ PDF Chat	Relative index pairing and odd index theorem for even dimensional manifolds	2010	Zhizhang Xie
+	The Odd Dimensional Analogue of a Theorem of Getzler and Wu	2010	Zhizhang Xie
+	Relative Index Pairing and Odd Index Theorem for Even Dimensional Manifolds	2010	Zhizhang Xie

Common Coauthors

Coauthor	Papers Together
Guoliang Yu	38
Jinmin Wang	17
Hao Guo	6
Shmuel Weinberger	4
Alexander Gorokhovsky	4
Jinmin Wang	4
Geng Tian	3
Dennis Sullivan	2
Bo Zhu	2
Jintao Deng	2
Sherry Gong	1
Thomas Schick	1
S. Cecchini	1
Jianchao Wu	1
Bo Zhu	1
Xingyu Zhu	1
Bo Zhu	1
Hongzhi Liu	1
Jinmin Wang	1
Xingyu Zhu	1
Bo Zhu	1
Nigel Higson	1
Guoliang Yu	1
Rudolf Zeidler	1
Xiaoman Chen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Cyclic cohomology, the Novikov conjecture and hyperbolic groups	1990	Alain Connes Henri Moscovici	22
+	EquivariantKK-theory and the Novikov conjecture	1988	Gennadi Kasparov	19
+	The Novikov Conjecture for Groups with Finite Asymptotic Dimension	1998	Guoliang Yu	17
+	Localization algebras and the coarse Baum--Connes conjecture	1997	Guoliang Yu	15
+ PDF Chat	The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space	2000	Guoliang Yu	15
+	Classifying Space for Proper Actions and K-Theory of Group C*-algebras	2004	Paul Baum Alain Connes Nigel Higson	15
+ PDF Chat	Coarse cohomology and index theory on complete Riemannian manifolds	1993	John Roe	14
+	C*-algebras, positive scalar curvature, and the Novikov conjecture	1983	Jonathan Rosenberg	14
+	Mapping Surgery to Analysis I: Analytic Signatures	2004	Nigel Higson John Roe	12
+ PDF Chat	A K-theoretic relative index theorem and Callias-type Dirac operators	1995	Ulrich Bunke	12
+	K-theory for discrete groups	1989	Paul Baum Alain Connes	11
+	Geometrization of the Strong Novikov Conjecture for residually finite groups	2008	Guihua Gong Qin Wang Guoliang Yu	11
+	Mapping Surgery to Analysis II: Geometric Signatures	2004	Nigel Higson John Roe	11
+	Positive scalar curvature, higher rho invariants and localization algebras	2014	Zhizhang Xie Guoliang Yu	11
+	Higher rho invariants and the moduli space of positive scalar curvature metrics	2016	Zhizhang Xie Guoliang Yu	11
+ PDF Chat	On Higher Eta-Invariants and Metrics of Positive Scalar Curvature	2001	Éric Leichtnam Paolo Piazza	11
+	Positive scalar curvature and a new index theory for noncompact manifolds	2019	Stanley Chang Shmuel Weinberger Guoliang Yu	10
+ PDF Chat	Positive scalar curvature and the Dirac operator on complete riemannian manifolds	1983	Mikhael Gromov H. Blaine Lawson	10
+	On the structure of manifolds with positive scalar curvature	1979	Richard Schoen S.-T. Yau	10
+ PDF Chat	Rho-classes, index theory and Stolz’ positive scalar curvature sequence	2014	Paolo Piazza Thomas Schick	10
+	Spectral asymmetry and Riemannian Geometry. I	1975	Michael Atiyah V. K. Patodi I. M. Singer	9
+ PDF Chat	Four Lectures on Scalar Curvature	2023	Misha Gromov	8
+	Delocalized L2-Invariants	1999	John Lott	8
+ PDF Chat	Delocalized eta invariants, cyclic cohomology and higher rho invariants	2023	Xiaoman Chen Jinmin Wang Zhizhang Xie Guoliang Yu	8
+ PDF Chat	Higher eta-invariants	1992	John Lott	8
+	Mapping Surgery To Analysis III: Exact Sequences	2004	Nigel Higson John Roe	8
+ PDF Chat	Positive Curvature, Partial Vanishing Theorems and Coarse Indices	2015	John Roe	8
+	The eta invariant and metrics of positive scalar curvature	1995	Boris Botvinnik Peter Gilkey	8
+ PDF Chat	Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds	2020	Shmuel Weinberger Zhizhang Xie Guoliang Yu	8
+	A relative higher index theorem, diffeomorphisms and positive scalar curvature	2013	Zhizhang Xie Guoliang Yu	8
+ PDF Chat	Metric Inequalities with Scalar Curvature	2018	Misha Gromov	8
+ PDF Chat	On the range of the relative higher index and the higher rho-invariant for positive scalar curvature	2021	Zhizhang Xie Guoliang Yu Rudolf Zeidler	7
+	Index Theory, Coarse Geometry, and Topology of Manifolds	1996	John Roe	7
+ PDF Chat	K-Homology, Assembly and Rigidity Theorems for Relative Eta Invariants	2010	Nigel Higson John Roe	7
+	The Novikov conjecture and geometry of Banach spaces	2012	Gennadi Kasparov Guoliang Yu	7
+	Spectral Asymmetry and Riemannian Geometry	1973	Michael Atiyah V. K. Patodi I. M. Singer	7
+ PDF Chat	Bounds on the von Neumann dimension of $L\sp 2$-cohomology and the Gauss-Bonnet theorem for open manifolds	1985	Jeff Cheeger Mikhael Gromov	7
+ PDF Chat	A long neck principle for Riemannian spin manifolds with positive scalar curvature	2020	S. Cecchini	7
+ PDF Chat	Groups with torsion, bordism and rho invariants	2007	Paolo Piazza Thomas Schick	7
+	Delocalized eta invariants, algebraicity, and $K$-theory of group $C^*$-algebras	2018	Zhizhang Xie Guoliang Yu	6
+ PDF Chat	Positive scalar curvature and product formulas for secondary index invariants	2016	Rudolf Zeidler	6
+	Higher Index Theory	2020	Rufus Willett Guoliang Yu	6
+	The Classification of Simply Connected Manifolds of Positive Scalar Curvature	1980	Mikhael Gromov H. Blaine Lawson	6
+	E-theory and KK-theory for groups which act properly and isometrically on Hilbert space	2001	Nigel Higson Gennadi Kasparov	6
+ PDF Chat	Localized index and $L^2$-Lefschetz fixed-point formula for orbifolds	2016	Bai‐Ling Wang Hang Wang	6
+ PDF Chat	Finite part of operator<i>K</i>–theory for groups finitely embeddable into Hilbert space and the degree of nonrigidity of manifolds	2015	Shmuel Weinberger Guoliang Yu	6
+ PDF Chat	Width, Largeness and Index Theory	2020	Rudolf Zeidler	6
+	New Holomorphically Closed Subalgebras of C*-Algebras of Hyperbolic Groups	2010	Michael Puschnigg	6
+ PDF Chat	Non-commutative differential geometry	1985	Alain Connes	6
+	Index theory, coarse geometry, and topology of manifolds	1996	John Roe	6