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arXiv · 2412.14567

Several new Witten rigidity theorems for elliptic genus

Jianyun Guan·Kefeng Liu·Yong Wang
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Abstract

Using the Liu's method, we prove a new Witten rigidity theorem of elliptic genus of twisted Dirac operators in even dimensional spin manifolds under the circle action. Combined with the Han-Yu's method, we prove the Witten rigidity theorems of elliptic genus of twisted Toplitz operators of odd-dimensional spin manifolds under the circle action. Moreover, we have obtained several similar Witten rigidity theorems of elliptic genus.

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Jianyun Guan, Kefeng Liu, Yong Wang. 2024-12-19. Several new Witten rigidity theorems for elliptic genus. https://arxiv.org/abs/2412.14567

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