Work

Several new Witten rigidity theorems for elliptic genus

Year: 2025

Type: article

Abstract: 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.

Source: Reviews in Mathematical Physics

DOI: 10.1142/s0129055x25500345

Authors: Jianyun Guan, Kefeng Liu, Yong Wang

Institutions: Northeast Normal University, Chongqing University of Technology

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Chongqing

Awards: G2775328943, 非交换指标定理和非交换留数的研究