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Equivariant spectral flow and a lefschetz theorem on odd-dimensional spin manifolds
Journal article   Open access  Peer reviewed

Equivariant spectral flow and a lefschetz theorem on odd-dimensional spin manifolds

Hao Fang
Pacific journal of mathematics, Vol.220(2), pp.299-312
2005
DOI: 10.2140/pjm.2005.220.299
url
https://doi.org/10.2140/pjm.2005.220.299View
Published (Version of record) Open Access

Abstract

We present a heat kernel proof of an equivariant index theorem on odd-dimensional spin manifolds, stated for Toeplitz operators. A notion of equivariant spectral flow is raised and plays an important role in our proof.

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