%0 Journal Article
%T On Family Rigidity Theorems II
%A Kefeng LIU
%A Xiaonan MA
%J Mathematics
%D 1999
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/9911035v1