On Family Rigidity Theorems I
微分几何
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/9910047,
title = {On Family Rigidity Theorems I},
author = {Kefeng LIU and Xiaonan MA},
journal= {arXiv preprint arXiv:math/9910047},
year = {2007}
}
备注
22 pages. Duke Math. J. to appear