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Homological infiniteness of Torelli groups

Toshiyuki Akita
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Abstract

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.

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Toshiyuki Akita. 1997-12-03. Homological infiniteness of Torelli groups. https://arxiv.org/abs/alg-geom/9712006

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