Representation spaces of Seifert fibered homology spheres

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6 Scopus citations

Abstract

Let Σ be a Seifert fibered homology sphere and τ the complex conjugation involution on Σ viewed as a link of singularity. We study the equivariant topology of SU(2) representation space of π1(Σ) with respect to the involution induced by τ. As an application we prove splicing additivity in the Floer homology of Seifert fibered homology spheres.

Original languageEnglish (US)
Pages (from-to)49-61
Number of pages13
JournalTopology and its Applications
Volume126
Issue number1-2
DOIs
StatePublished - Nov 30 2002
Externally publishedYes

Keywords

  • Casson invariant
  • Floer homology
  • Representation space
  • Seifert fibered manifold

ASJC Scopus subject areas

  • Geometry and Topology

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