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Rigidity of higher elliptic genera
Authors:Donggeng Gong  Kefeng Liu
Institution:(1) Dept. of Mathematics, Univ. of Chicago, 60637 Chicago, IL, USA;(2) Dept. of Mathematics, MIT, 02139 Cambridge, MA, USA
Abstract:We prove some general rigidity theorems for both elliptic and higher elliptic genera under a natural condition on the first equivariant Pontrjagin classes. We also obtain the vanishing of some higher elliptic genera.Both authors are supported in part by NFS
Keywords:Higher elliptic genus  rigidity and index theorem
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