Homological infiniteness of Torelli groups

Details Homological infiniteness of Torelli groups Homological infiniteness of Torelli groups

1997-12-03

arxiv.org/abs/alg-geom/9712006v1

Mathematics

Algebraic Geometry

AMSLaTeX v.1.2, 6 pages

Scientific paper

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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