On Family Rigidity Theorems II

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dc.creatorLIU, Kefeng
dc.creatorMA, Xiaonan
dc.date1999-11-05
dc.date.accessioned2026-07-07T05:31:27Z
dc.date.available2026-07-07T05:31:27Z
dc.descriptionIn 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.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/9911035
dc.identifierhttp://arxiv.org/abs/math/9911035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79351
dc.subjectDifferential Geometry
dc.subject14.D05;57R.91,22E67,58G10
dc.titleOn Family Rigidity Theorems II
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