I. Tsai

activity

19982026

most citedDeterminant bundle in a family of curves, after A. Beilinson and V. Schechtman

4 citations · 11 across the 16 of their papers we have counts for

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3 papers · 1 filter

math.DG2020

A Local Index Theorem of Transversal Type on Manifolds with Locally Free $S^{1}$ -action

Dung-Cheng Lin, I-Hsun Tsai

We study an index of a transversal Dirac operator on an odd-dimensional manifold $X$ with locally free $S^{1}$ -action. One difficulty of using heat kernel method lies in the…

math.DG2015★ 3 cited

Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with $S^{1}$ action

Jih-Hsin Cheng, Chin-Yu Hsiao, I-Hsun Tsai

Among those transversally elliptic operators initiated by Atiyah and Singer, Kohn's $□_{b}$ operator on CR manifolds with $S^{1}$ action is a natural one of geometric significance f…

math.DG1998

Deformation of spherical CR structures and the universal Picard variety

Jih-Hsin Cheng, I-Hsun Tsai

We study deformation of spherical $C R$ circle bundles over Riemann surfaces of genus > 1. There is a one to one correspondence between such deformation space and the so-called univ…

A Local Index Theorem of Transversal Type on Manifolds with Locally Free S1-action

Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with S1 action

Deformation of spherical CR structures and the universal Picard variety

A Local Index Theorem of Transversal Type on Manifolds with Locally Free $S^{1}$ -action

Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with $S^{1}$ action