On the Kernel of the Equivariant Dirac Operator

Victor Nistor

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We prove a vanishing theorem for certain isotypical components of the kernel of the S1-equivariant Dirac operator with coefficients in an admissible Clifford module. The method is based on changing the metric by a conformal (generally unbounded) factor and studying the effect of this change on the Dirac operator and its kernel. In the cases relevant to S1-actions we find that the kernel of the new operator is naturally isomorphic to the kernel of the original operator.

Original languageEnglish (US)
Pages (from-to)595-613
Number of pages19
JournalAnnals of Global Analysis and Geometry
Volume17
Issue number6
DOIs
StatePublished - Jan 1 1999

All Science Journal Classification (ASJC) codes

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology

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