Nilpotency in instanton homology, and the framed instanton homology of a surface times a circle

William Chen, Christopher Scaduto

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In the description of the instanton Floer homology of a surface times a circle due to Muñoz, we compute the nilpotency degree of the endomorphism u2−64. We then compute the framed instanton homology of a surface times a circle with non-trivial bundle, which is closely related to the kernel of u2−64. We discuss these results in the context of the moduli space of stable rank two holomorphic bundles with fixed odd determinant over a Riemann surface.

Original languageEnglish (US)
Pages (from-to)377-408
Number of pages32
JournalAdvances in Mathematics
Volume336
DOIs
StatePublished - Oct 1 2018
Externally publishedYes

Keywords

  • 3-manifolds
  • Floer homology
  • Instanton homology

ASJC Scopus subject areas

  • Mathematics(all)

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