Publications

  • (with Z. Xie, B. Zhu, X. Zhu) Positive Scalar Curvature Meets Ricci Limit Spaces, to appear in Manuscripta Mathematica arXiv

  • (with Z. Xie) Scalar curvature rigidity of degenerate warped product spaces, to appear in Transactions of the AMS arXiv

  • (with Z. Xie and G. Yu) Decay of scalar curvature on uniformly contractible manifolds with finite asymptotic dimension, Comm. Pure Appl. Math., online published arXiv

  • (with Z. Xie and G. Yu) A proof of Gromov's cube inequality on scalar curvature, to appear in Journal of Differential Geometry arXiv

  • (with Z. Xie and G. Yu) l1-higher index, l1-higher rho invariant and cyclic cohomology, Cyclic Cohomology at 40: achievements and future prospects arXiv

  • (with Z. Xie and G. Yu) Approximations of delocalized eta invariants by their finite analogues, L'Enseignement math'ematique arXiv

  • (with X. Chen, Z. Xie and G. Yu) Delocalized eta invariants, cyclic cohomology and higher rho invariants, Annals of K-theory arXiv

  • (with H. Liu) On localized signature and higher rho invariant of fibered manifolds, J. Noncommut. Geom. arXiv

Preprints

  • (with Q. Ma, G. Yu, B. Zhu) Bounding the A-hat genus using scalar curvature lower bounds and isoperimetric constants arXiv

  • (with B. Zhu, Z. Wang) Scalar-mean rigidity theorem for compact manifolds with boundary arXiv

  • (with B. Zhu) Sharp bottom spectrum and scalar curvature rigidity arXiv

  • (with Z. Xie) Scalar curvature rigidity of spheres with subsets removed and \(L^\infty\) metrics arXiv

  • (with S. Cecchini, Z. Xie, B. Zhu) Scalar curvature rigidity of the four-dimensional sphere arXiv

  • (with Z. Xie, G. Yu, B. Zhu) Filling Radius, Quantitative \(K\)-theory and Positive Scalar Curvature arXiv

  • (with Z. Xie) Dihedral rigidity for submanifolds of warped product manifolds arXiv

  • (with Z. Xie) Rigidity of strictly convex domains in Euclidean spaces arXiv

  • (with Z. Xie) On Gromov's flat corner domination conjecture and Stoker's conjecture arXiv

  • (with Z. Xie and G. Yu) On Gromov's dihedral extremality and rigidity conjectures arXiv

Conferences and Seminars