The index of dirac operators on incomplete edge spaces

Pierre Albin, Jesse Gell-Redman

Research output: Contribution to journalArticlepeer-review

Abstract

We derive a formula for the index of a Dirac operator on a compact, evendimensional incomplete edge space satisfying a “geometric Witt condition”. We accomplish this by cutting off to a smooth manifold with boundary, applying the Atiyah-Patodi-Singer index theorem, and taking a limit. We deduce corollaries related to the existence of positive scalar curvature metrics on incomplete edge spaces.

Original languageEnglish (US)
Article number089
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume12
DOIs
StatePublished - Sep 8 2016

Keywords

  • Atiyah-Singer index theorem
  • Dirac operators
  • Positive scalar curvature
  • Singular spaces

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Geometry and Topology

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