Mod~2 homology of the stable spin mapping class group

DOI10.1007/s00208-005-0740-5zbMath1102.55005arXivmath/0505009OpenAlexW2059870826MaRDI QIDQ818556

Søren Galatius

Publication date: 21 March 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505009

zbMATH Keywords

mod 2 homologystable spin mapping class group

Mathematics Subject Classification ID

General low-dimensional topology (57M99) General geometric structures on low-dimensional manifolds (57M50) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Infinite loop spaces (55P47) Spectral sequences and homology of fiber spaces in algebraic topology (55R20)

Related Items

The homotopy type of the cobordism category ⋮ The Picard group of the moduli space of \(r\)-spin Riemann surfaces ⋮ The second rational homology group of the moduli space of curves with level structures ⋮ Homological stability for the mapping class groups of non-orientable surfaces

Cites Work

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• The homology of iterated loop spaces
• Mod \(p\) homology of the stable mapping class group
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• S 1 -Equivariant Function Spaces and Characteristic Classes
• Spin Structures and Quadratic forms on Surfaces
• An infinite loop space structure on the nerve of spin bordism categories
• Divisibility of the stable Miller-Morita-Mumford classes