Homological infiniteness of Torelli groups

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We prove that rational homology of the Torelli group of genus g is infinite dimensional, provided g>6. This means that rational homology of the Torelli space of genus g>6 is infinite dimensional. The Torelli groups with marked points are also considered. In addition, we prove that rational homology of the subgroup of the Torelli group of genus g generated by all the Dehn twists along separating simple closed curves is infinite dimensional for g>2.
AMSLaTeX v.1.2, 6 pages

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Algebraic Geometry, Differential Geometry, Quantum Algebra, 55R40, 32G15, 20F38 (Primary) 20J99, 57M99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/284

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9712006
 http://arxiv.org/abs/alg-geom/9712006

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arXiv