Homological infiniteness of Torelli groups

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dc.creatorAkita, Toshiyuki
dc.date1997-12-03
dc.date.accessioned2026-07-07T01:51:23Z
dc.date.available2026-07-07T01:51:23Z
dc.descriptionWe 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.
dc.descriptionAMSLaTeX v.1.2, 6 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9712006
dc.identifierhttp://arxiv.org/abs/alg-geom/9712006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/284
dc.subjectAlgebraic Geometry
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.subject55R40, 32G15, 20F38 (Primary) 20J99, 57M99 (Secondary)
dc.titleHomological infiniteness of Torelli groups
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