Homological infiniteness of Torelli groups
Akita, Toshiyuki
Algebraic Geometry
Differential Geometry
Quantum Algebra
55R40, 32G15, 20F38 (Primary) 20J99, 57M99 (Secondary)
Original · EN
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.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.