Trivial cocycles and invariants of homology 3-spheres

Wolfgang Pitsch*

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

1 Citation (Scopus)

Abstract

We study the relationship between trivial cocycles on the Torelli group and invariants of oriented integral homology 3-spheres. We apply this study to give a new purely algebraic construction of the Casson invariant. As a by-product we get a new 2-torsion cohomology class in the second integral cohomology of the Torelli group.

Original languageAmerican English
Pages (from-to)278-302
Number of pages25
JournalAdvances in Mathematics
Volume220
Issue number1
DOIs
Publication statusPublished - 15 Jan 2009

Keywords

  • Casson invariant
  • Heegaard splitting
  • Homology spheres
  • Torelli group

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