A stable splitting for the mapping class group

DOI10.1307/mmj/1029003754zbMath0673.55009OpenAlexW2092794858MaRDI QIDQ1120846

Frederick R. Cohen, Ruth M. Charney

Publication date: 1988

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003754

zbMATH Keywords

stableperfect groupplus constructionalgebraicimage of Jcohomology group of the stable mapping class groupcomponents and s puncturesK-theory of the integersmapping class group of a surface of genus g with r boundarymapping class group of a surface of genus g with r boundary components and s puncturessplitting of the plus-construction of the classifying space of thestable mapping class group of surfaces

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Homological methods in group theory (20J05) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25) Infinite loop spaces (55P47) (J)-morphism (55Q50)

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Riemann-Hurwitz formula for Morita-Mumford classes and surface symmetries

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