The signature and the elliptic genus of π2-finite manifolds with circle actions

Haydeé Herrera, Rafael Herrera

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We prove the vanishing of various characteristic numbers, such as the signature and the ̂A-genus, on manifolds with finite second homotopy group and which admit smooth S1-actions. More precisely, we prove the vanishing of various coefficientes of the elliptic genus on non-spin π2-finite manifolds when the S1-action either satisfies a "parity" condition or has isolated fixed points only.

Original languageEnglish (US)
Pages (from-to)251-259
Number of pages9
JournalTopology and its Applications
Volume136
Issue number1-3
DOIs
StatePublished - Jan 28 2004

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • A-genus
  • Circle action
  • Elliptic genus
  • Signature

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