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Several new Witten rigidity theorems for spin$^c$ manifolds

Year: 2025

Type: preprint

Abstract: Using Liu's modular invariance method and its odd-dimensional extension by Han and Yu, we establish new Witten rigidity theorems for the generalized Witten genus of twisted Dirac operators on even-dimensional spin$^c$ manifolds and twisted Toeplitz operators on odd-dimensional spin$^c$ manifolds with circle actions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2512.16088

Authors: Guan, Jianyun, Liu, Kefeng, Wang, Yong

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4417529628

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