On Family Rigidity Theorems II
Differential Geometry
2007-05-23 v1
Abstract
In LM, we proved a family version of the famous Witten rigidity theorems and several family vanishing theorems for elliptic genera. In this paper, we gerenalize our theorems LM in two directions. First we establish a family rigidity theorem for the Dirac operator on loop space twisted by general positive energy loop group representations. Second we prove a family rigidity theorem for spin^c-manifolds. Several vanishing theorems on both cases are also obtained.
Cite
@article{arxiv.math/9911035,
title = {On Family Rigidity Theorems II},
author = {Kefeng LIU and Xiaonan MA},
journal= {arXiv preprint arXiv:math/9911035},
year = {2007}
}
Comments
20 pages