Trivial cocycles and invariants of homology 3-spheres

Wolfgang Pitsch*

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)


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. © 2008 Elsevier Inc. All rights reserved.
Original languageAmerican English
Pages (from-to)278-302
Number of pages25
JournalAdvances in Mathematics
Issue number1
Publication statusPublished - 15 Jan 2009


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


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