Homology of the moduli spaces and mapping class groups of framed, r -Spin and Pin surfaces

DOI10.1112/jtopol/jtt029zbMath1322.55006arXiv1001.5366OpenAlexW3099369851MaRDI QIDQ2879007

Oscar Randal-Williams

Publication date: 5 September 2014

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.5366

zbMATH Keywords

moduli spacemapping class groupsurface bundleArf invarianthomological stabilitystable homologyframing\(r\)-SpinPintangential structure

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Characteristic classes and numbers in differential topology (57R20) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Infinite loop spaces (55P47) Differential topological aspects of diffeomorphisms (57R50)

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