Several new Witten rigidity theorems for elliptic genus
Using Liu’s modular invariance method and its odd-dimensional extension by Han–Yu, we establish new Witten rigidity theorems for the elliptic genus of twisted Dirac operators on even-dimensional spin manifolds and twisted Toeplitz operators on odd-dimensional spin manifolds with circle actions.
Authors
- Jianyun Guan (ORCID: https://orcid.org/0000-0002-4854-5443)
- Kefeng Liu
- Yong Wang
Institutions
- Northeast Normal University (CN)
- Chongqing University of Technology (CN)
Publication Details
- Journal
- Reviews in Mathematical Physics
- Published
- 2025-10-23
- DOI
- https://doi.org/10.1142/s0129055x25500345
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00