Trivial cocycles and invariants of homology 3-spheres

• Autores: Wolfgang Pitsch
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 220, Nº 1, 2009, págs. 278-302
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.09.002
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• Resumen

  • 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