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Twisted Morita–Mumford classes on braid groups

Nariya Kawazumi

Geometry & Topology Monographs 13 (2008) 293–306

DOI: 10.2140/gtm.2008.13.293

arXiv: math.GT/0606102
Abstract

Evaluating the twisted Morita–Mumford classes hp on the Artin braid group Bn, we give the stable algebraic independence of the hp's on the automorphism group of the free group, Aut(Fn). This is sharper than the results we obtained by restricting them to the mapping class group.

Keywords

free group, Morita-Mumford class, automorphism group of a free group, braid group, cohomology of groups, mapping class group
Mathematical Subject Classification

Primary: 20F36

Secondary: 14H15, 20F28, 20J06, 32G15, 57M50, 57R20
References
Publication

Received: 5 June 2006
Revised: 28 May 2007
Accepted: 30 May 2007
Published: 25 February 2008
Authors
Nariya Kawazumi
Department of Mathematical Sciences
University of Tokyo
Tokyo, 153-8914 Japan