Index character associated to the projective Dirac operator

2011/07/15 by Makoto Yamashita, Yamashita, Makoto
Mathematics · #58J22 (primary) 35K05 (secondary) #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.DG #math.KT #msc:35K05 #msc:58J22

paper · pdf · doi:10.48550/arxiv.1107.3007

8 pages

arxiv created 2011/07/15 · openalex publication_date 2011/07/15 · arxiv updated 2011/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the projective Dirac operator by Mathai--Melrose--Singer.

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