The mapping class group orbits in the framings of compact surfaces

DOI10.1093/qmath/hay024zbMath1432.57029arXiv1703.02258OpenAlexW2963032423MaRDI QIDQ4968787

Nariya Kawazumi

Publication date: 9 July 2019

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02258

zbMATH Keywords

spin structuremapping class groupArf invariantframing on surfaces

Mathematics Subject Classification ID

Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (9)

Hodge theory of the Turaev cobracket and the Kashiwara-Vergne problem ⋮ Derived equivalence classification of Brauer graph algebras ⋮ Johnson homomorphisms ⋮ Framed mapping class groups and the monodromy of strata of abelian differentials ⋮ Moduli spaces of complex affine and dilation surfaces ⋮ A complete derived invariant for gentle algebras via winding numbers and Arf invariants ⋮ Topological field theory on r-spin surfaces and the Arf-invariant ⋮ Derived equivalences of gentle algebras via Fukaya categories ⋮ Relative homological representations of framed mapping class groups

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