Geometry & Topology
- Geom. Topol.
- Volume 16, Number 3 (2012), 1725-1765.
Towards representation stability for the second homology of the Torelli group
We show for that the second homology group of the Torelli group, , is generated as an –module by the image of under the stabilization map. In the process we also show that the quotient by the Torelli group of the complex of arcs with identity permutation is –connected for .
Geom. Topol., Volume 16, Number 3 (2012), 1725-1765.
Received: 4 September 2011
Accepted: 14 March 2012
First available in Project Euclid: 20 December 2017
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Boldsen, Søren K; Dollerup, Mia Hauge. Towards representation stability for the second homology of the Torelli group. Geom. Topol. 16 (2012), no. 3, 1725--1765. doi:10.2140/gt.2012.16.1725. https://projecteuclid.org/euclid.gt/1513732447