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Zhizhang Xie
Zhizhang Xie
Professor of Mathematics, Texas A&M University
Dirección de correo verificada de tamu.edu - Página principal
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Positive scalar curvature, higher rho invariants and localization algebras
Z Xie, G Yu
Advances in Mathematics 262, 823-866, 2014
602014
Higher rho invariants and the moduli space of positive scalar curvature metrics
Z Xie, G Yu
Advances in Mathematics 307, 1046-1069, 2017
382017
Additivity of higher rho invariants and nonrigidity of topological manifolds
S Weinberger, Z Xie, G Yu
Communications on Pure and Applied Mathematics 74 (1), 3-113, 2021
37*2021
A relative higher index theorem, diffeomorphisms and positive scalar curvature
Z Xie, G Yu
Advances in Mathematics 250, 35-73, 2014
362014
On Gromov's dihedral extremality and rigidity conjectures
J Wang, Z Xie, G Yu
arXiv preprint arXiv:2112.01510, 2021
242021
Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras
Z Xie, G Yu
International Mathematics Research Notices 2021 (15), 11731-11766, 2021
242021
Delocalized eta invariants, cyclic cohomology and higher rho invariants
X Chen, J Wang, Z Xie, G Yu
Annals of K-Theory 8 (4), 531-608, 2023
20*2023
A proof of Gromov's cube inequality on scalar curvature
J Wang, Z Xie, G Yu
Journal of Differential Geometry 128 (3), 1285-1300, 2024
19*2024
On the range of the relative higher index and the higher rho-invariant for positive scalar curvature
Z Xie, G Yu, R Zeidler
Advances in Mathematics 390, 107897, 2021
192021
Quantitative K-theory, positive scalar curvature, and band width
H Guo, Z Xie, G Yu
Perspectives on Scalar Curvature, edited by ML Gromov and HB Lawson, Jr, 763-798, 2020
18*2020
Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension
J Wang, Z Xie, G Yu
Communications on Pure and Applied Mathematics 77 (1), 372-440, 2024
12*2024
Dihedral rigidity for submanifolds of warped product manifolds
J Wang, Z Xie
arXiv preprint arXiv:2303.13492, 2023
92023
A quantitative relative index theorem and Gromov’s conjectures on positive scalar curvature (with an appendix by Jinmin Wang and Zhizhang Xie)
Z Xie
Journal of Noncommutative Geometry 17 (2), 609-662, 2023
92023
On Gromov's flat corner domination conjecture and Stoker's conjecture
J Wang, Z Xie
arXiv preprint arXiv:2203.09511, 2022
9*2022
Scalar curvature rigidity of degenerate warped product spaces
J Wang, Z Xie
Transactions of the American Mathematical Society, Series B 12 (01), 1-37, 2025
82025
Positive scalar curvature meets Ricci limit spaces
J Wang, Z Xie, B Zhu, X Zhu
manuscripta mathematica, 1-27, 2024
82024
A Lichnerowicz vanishing theorem for the maximal Roe algebra
H Guo, Z Xie, G Yu
Mathematische Annalen 385 (1), 717-743, 2023
82023
Higher invariants in noncommutative geometry
Z Xie, G Yu
Advances in Noncommutative Geometry: On the Occasion of Alain Connes' 70th …, 2019
72019
Relative index pairing and odd index theorem for even dimensional manifolds
Z Xie
Journal of Functional Analysis 260 (7), 2064-2085, 2011
62011
Scalar curvature rigidity of the four-dimensional sphere
S Cecchini, J Wang, Z Xie, B Zhu
arXiv preprint arXiv:2402.12633, 2024
52024
El sistema no puede realizar la operación en estos momentos. Inténtalo de nuevo más tarde.
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