Spinors and the tangent groupoid

Nigel Higson, Zelin Yi

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The purpose of this article is to study Ezra Getzler's approach to the Atiyah-Singer index theorem from the perspective of Alain Connes' tangent groupoid. We shall construct a "rescaled" spinor bundle on the tangent groupoid, define a convolution operation on its smooth, compactly supported sections, and explain how the algebra so-obtained incorporates Getzler's symbol calculus.

Original languageEnglish (US)
Pages (from-to)1677-1720
Number of pages44
JournalDocumenta Mathematica
Volume24
DOIs
StatePublished - 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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