Volume 16, issue 3 (2012)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 21
Issue 6, 3191–3810
Issue 5, 2557–3190
Issue 4, 1931–2555
Issue 3, 1285–1930
Issue 2, 647–1283
Issue 1, 1–645

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Towards representation stability for the second homology of the Torelli group

Søren K Boldsen and Mia Hauge Dollerup

Geometry & Topology 16 (2012) 1725–1765
Abstract

We show for g 7 that the second homology group of the Torelli group, H2(g,1; ), is generated as an Sp(2g, )–module by the image of H2(6,1; ) under the stabilization map. In the process we also show that the quotient B(Fg,i;i)g,i by the Torelli group of the complex of arcs with identity permutation is (g2)–connected for i = 1,2.

Keywords
representation stability, Torelli group
Mathematical Subject Classification 2010
Primary: 20C12, 20J06
References
Publication
Received: 4 September 2011
Accepted: 14 March 2012
Published: 3 August 2012
Proposed: Benson Farb
Seconded: Danny Calegari, Jesper Grodal
Authors
Søren K Boldsen
Mathematical Institute
University of Bonn
Endenicher Allee 60
D-53115 Bonn
Germany
Mia Hauge Dollerup
Department of Mathematics
Aarhus University
Klokkerfaldet 109
DK-8210 Aarhus
Denmark