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Homology of the mapping class group Γ2,1 for surfaces of genus 2 with a boundary curve

Jochen Abhau, Carl-Friedrich Bödigheimer and Ralf Ehrenfried

Geometry & Topology Monographs 14 (2008) 1–25

DOI: 10.2140/gtm.2008.14.1

arXiv: 0712.4254
Abstract

We report on the computation of the integral homology of the mapping class group Γg,1m of genus g surfaces with one boundary curve and m punctures, when 2g + m ≤ 5, in particular Γ2,10.

Dedicated to the memory of Heiner Zieschang
Keywords

mapping class group, homology, surface, surface with boundary
Mathematical Subject Classification

Primary: 57S05

Secondary: 57N05, 57S25
References
Publication

Received: 15 October 2006
Revised: 21 March 2007
Accepted: 26 March 2007
Published: 29 April 2008
Authors
Jochen Abhau
Mathematisches Institut
Universität Bonn
Beringstraße 1
D–53115 Bonn
Germany
Carl-Friedrich Bödigheimer
Mathematisches Institut
Universität Bonn
Beringstraße 1
D–53115 Bonn
Germany
Ralf Ehrenfried
Mathematisches Institut
Universität Bonn
Beringstraße 1
D–53115 Bonn
Germany