| Positive scalar curvature, higher rho invariants and localization algebras Z Xie, G Yu Advances in Mathematics 262, 823-866, 2014 | 56 | 2014 |
| Higher rho invariants and the moduli space of positive scalar curvature metrics Z Xie, G Yu Advances in Mathematics 307, 1046-1069, 2017 | 37 | 2017 |
| A relative higher index theorem, diffeomorphisms and positive scalar curvature Z Xie, G Yu Advances in Mathematics 250, 35-73, 2014 | 33 | 2014 |
| 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 | 31* | 2021 |
| Delocalized Eta Invariants, Algebraicity, and K-Theory of Group C*-Algebras Z Xie, G Yu International Mathematics Research Notices 2021 (15), 11731-11766, 2021 | 23 | 2021 |
| Delocalized eta invariants, cyclic cohomology and higher rho invariants X Chen, J Wang, Z Xie, G Yu arXiv preprint arXiv:1901.02378, 2019 | 21 | 2019 |
| 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 | 18 | 2021 |
| Quantitative K-Theory, Positive Scalar Curvature, and Bandwidth H Guo, Z Xie, G Yu Perspectives in Scalar Curvature, 763-798, 2023 | 15* | 2023 |
| On Gromov's dihedral extremality and rigidity conjectures J Wang, Z Xie, G Yu arXiv preprint arXiv:2112.01510, 2021 | 15 | 2021 |
| A proof of Gromov's cube inequality on scalar curvature J Wang, Z Xie, G Yu arXiv preprint arXiv:2105.12054, 2021 | 9 | 2021 |
| A Lichnerowicz vanishing theorem for the maximal Roe algebra H Guo, Z Xie, G Yu Mathematische Annalen 385 (1), 717-743, 2023 | 8 | 2023 |
| Higher invariants in noncommutative geometry Z Xie, G Yu Advances in Noncommutative Geometry: On the Occasion of Alain Connes' 70th …, 2019 | 8 | 2019 |
| 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 | 7 | 2023 |
| On Gromov's flat corner domination conjecture and Stoker's conjecture J Wang, Z Xie arXiv preprint arXiv:2203.09511, 2022 | 7* | 2022 |
| 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 | 5 | 2024 |
| Guoliang Yu. Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension. to appear in Communications on Pure and Applied Mathematics J Wang, Z Xie arXiv preprint arXiv:2101.11584, 2021 | 5 | 2021 |
| Relative index pairing and odd index theorem for even dimensional manifolds Z Xie Journal of Functional Analysis 260 (7), 2064-2085, 2011 | 5 | 2011 |
| Dihedral rigidity for submanifolds of warped product manifolds J Wang, Z Xie arXiv preprint arXiv:2303.13492, 2023 | 4 | 2023 |
| Positive scalar curvature meets ricci limit spaces J Wang, Z Xie, B Zhu, X Zhu arXiv preprint arXiv:2212.10416, 2022 | 3 | 2022 |
| Functoriality for higher rho invariants of elliptic operators H Guo, Z Xie, G Yu Journal of Functional Analysis 280 (10), 108966, 2021 | 3 | 2021 |
Guoliang YuPowell Chair and University Distinguished Professor, Texas A&M UniversityVerified email at math.tamu.edu
