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On Family Rigidity Theorems I

Kefeng LIU·Xiaonan MA
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Abstract

In this paper, we first prove a local family version of the Atiyah-Bott-Segal-Singer Lefschetz fixed point formula, then we extend the famous Witten's rigidity Theorems to the family case. Several family vanishing theorems for elliptic genera are also proved.

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Kefeng LIU, Xiaonan MA. 1999-10-08. On Family Rigidity Theorems I. https://arxiv.org/abs/math/9910047

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