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 language | American English |
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Pages (from-to) | 278-302 |
Number of pages | 25 |
Journal | Advances in Mathematics |
Volume | 220 |
Issue number | 1 |
DOIs | |
Publication status | Published - 15 Jan 2009 |
Keywords
- Casson invariant
- Heegaard splitting
- Homology spheres
- Torelli group