The mod 2 cohomology of the mapping class group of the Klein bottle with marked points

DOI10.1016/j.jpaa.2017.07.007zbMath1487.55023OpenAlexW2734829413MaRDI QIDQ684103

Miguel A. Xicoténcatl, Christian E. Hidber

Publication date: 9 February 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2017.07.007

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Serre spectral sequences (55T10) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• The cohomology ring away from 2 of configuration spaces on real projective spaces
• Characteristic classes of Klein bottle bundles
• On the homology of configuration spaces
• The unstable decomposition of \(\Omega^ 2 \Sigma^ 2X\) and its applications
• Periodicity of the punctured mapping class group
• Configuration spaces of algebraic varieties
• The geometry of iterated loop spaces
• Mapping class groups of low genus and their cohomology
• Homological stability of non-orientable mapping class groups with marked points
• The Cohomology of Certain Function Spaces
• On the Mapping Class Groups for Punctured Spheres, the Hyperelliptic Mapping Class Groups, SO(3), and Spin c (3)
• A Stable Decomposition of ω ^N Sⁿ X
• Homotopy Properties of the Space of Homeomorphisms on P 2 and the Klein Bottle
• On braid groups
• Le type d'homotopie du groupe des difféomorphismes d'une surface compacte

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