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arXiv · 2209.11951

Almost Nonnegative Ricci curvature and new vanishing theorems for genera

Xiaoyang Chen·Jian Ge·Fei Han
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Abstract

We derive several vanishing theorems for genera under almost nonnegative Ricci curvature and infinite fundamental group, which includes Todd genus, $\widehat{A}$-genus, elliptic genera and Witten genus. A vanishing theorem of Euler characteristic number for almost nonnegatively curved Alexandrov spaces is also proved.

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Xiaoyang Chen, Jian Ge, Fei Han. 2022-09-24. Almost Nonnegative Ricci curvature and new vanishing theorems for genera. https://arxiv.org/abs/2209.11951

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