English

Index character associated to the projective Dirac operator

K-Theory and Homology 2011-07-18 v1 Differential Geometry

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.

Keywords

Cite

@article{arxiv.1107.3007,
  title  = {Index character associated to the projective Dirac operator},
  author = {Makoto Yamashita},
  journal= {arXiv preprint arXiv:1107.3007},
  year   = {2011}
}

Comments

8 pages

R2 v1 2026-06-21T18:37:20.902Z