183 citations · 402 across the 34 of their papers we have counts for
36 papers
Compacitification and positive mass theorem for fibered Euclidean end
Xianzhe Dai, Yukai Sun
In this note, we consider the positive mass theorem for Riemannian manifolds asymptotic to for by s…
Perelman's functionals on manifolds with non-isolated conical singularities
Xianzhe Dai, Changliang Wang
In this article, we define Perelman's functionals on manifolds with non-isolated conical singularities by starting from a spectral point of view for the Perelman's -functional.…
Asymptotic Spectral Flow
Xianzhe Dai, Yihan Li
In this paper we study the asymptotic behavior of the spectral flow of a one-parameter family of Dirac operators acting on the spinor bunldle twisted by a vector bund…
Witten Deformation on Non-compact Manifold: Heat Kernel Expansion and Local Index Theorem
Xianzhe Dai, Junrong Yan
Asymptotic expansions of heat kernels and heat traces of Schrödinger operators on non-compact spaces are rarely explored, and even for cases as simple as with (quasi…
Correlation of the renormalized Hilbert length for convex projective surfaces
Xian Dai, Giuseppe Martone
In this paper we focus on dynamical properties of (real) convex projective surfaces. Our main theorem provides an asymptotic formula for the number of free homotopy classes with ro…
Analytic torsion for log-Enriques surfaces and Borcherds product
Xianzhe Dai, Ken-Ichi Yoshikawa
We introduce a holomorphic torsion invariant of log-Enriques surfaces of index two with cyclic quotient singularities of type . The moduli space of such log-Enriq…