On Family Rigidity Theorems II

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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.
20 pages

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Differential Geometry, 14.D05;57R.91,22E67,58G10

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http://salesiana.dossiersoluciones.com/handle/123456789/79351

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911035
 http://arxiv.org/abs/math/9911035

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arXiv