Abelian quotients of mapping class groups of highly connected manifolds

DOI10.1007/s00208-015-1300-2zbMath1343.55005arXiv1407.4680OpenAlexW1912062023MaRDI QIDQ289874

Oscar Randal-Williams, Søren Galatius

Publication date: 31 May 2016

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

Full work available at URL: https://arxiv.org/abs/1407.4680

zbMATH Keywords

mapping class groupmapping torusself diffeomorphismWall quadratic form

Mathematics Subject Classification ID

(H)-spaces and duals (55P45) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Stable homotopy groups (55Q10) Primary cohomology operations in algebraic topology (55S05)

Related Items (13)

The action of the mapping class group on metrics of positive scalar curvature ⋮ Infinite loop spaces and positive scalar curvature ⋮ Infinite loop spaces from operads with homological stability ⋮ Signature cocycles on the mapping class group and symplectic groups ⋮ Homological stability for moduli spaces of high dimensional manifolds. I ⋮ Mapping class groups of highly connected \((4k+2)\)-manifolds ⋮ On characteristic classes of exotic manifold bundles ⋮ Characteristic numbers of manifold bundles over surfaces with highly connected fibers ⋮ Theta functions and a presentation of \(2^{1 +(2 g + 1)} \mathsf{Sp}(2 g, 2)\) ⋮ On the Farrell-Jones conjecture for Waldhausen's \(A\)-theory ⋮ Some hermitian K-groups via geometric topology ⋮ Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic ⋮ Some finiteness results for groups of automorphisms of manifolds

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