Trivial Cocycles and Invariants of Homology 3-Spheres

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dc.creatorPitsch, Wolfgang
dc.date2006-05-29
dc.date.accessioned2026-07-07T07:14:36Z
dc.date.available2026-07-07T07:14:36Z
dc.descriptionWe study the relationship between trivial cocycles on the Torelli group and invariants of oriented integral homology 3-spheres. We give ncecessary and sufficient conditions for a function defined on the union of the Torelli groups to be an invariant of homology spheres. We apply this study to give a new purely algebraic construction of the Casson invariant and prove in this setting its surgery properties. As a by-product we get a new 2-torsion cohomology class in the second integral cohomology of the Torelli group.
dc.description25 pages, 12 figures
dc.identifierhttps://arxiv.org/abs/math/0605725
dc.identifierhttp://arxiv.org/abs/math/0605725
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112941
dc.subjectGeometric Topology
dc.subjectK-Theory and Homology
dc.subject57M27 (Primary); 20J05 (Secondary)
dc.titleTrivial Cocycles and Invariants of Homology 3-Spheres
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