Homological stability for the moduli spaces of products of spheres

DOI10.1090/tran/6564zbMath1370.57010arXiv1408.1903OpenAlexW2963687129MaRDI QIDQ2790654

Nathan Perlmutter

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1903

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Infinite loop spaces (55P47) Homotopy groups of spheres (55Q40) Algebraic topology on manifolds and differential topology (57R19)

Related Items (11)

Decoupling Decorations on Moduli Spaces of Manifolds ⋮ Homological stability for diffeomorphism groups of high-dimensional handlebodies ⋮ Infinite loop spaces from operads with homological stability ⋮ Homological stability: a tool for computations ⋮ Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds ⋮ Finiteness properties of automorphism spaces of manifolds with finite fundamental group ⋮ Homology stability for symmetric diffeomorphism and mapping class groups ⋮ On rational homological stability for block automorphisms of connected sums of products of spheres ⋮ Linking forms and stabilization of diffeomorphism groups of manifolds of dimension 4n+ 1 ⋮ Cobordism categories and moduli spaces of odd dimensional manifolds ⋮ Homological stability of topological moduli spaces

Cites Work

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• Stabilization for mapping class groups of 3-manifolds
• Plongements différentiables de variétés dans variétés
• Surgery and duality
• Stable moduli spaces of high-dimensional manifolds
• Modifying intersections
• Classification problems in differential topology. VI: Classification of \((s-1)\)-connected \((2s+1)\)-manifolds
• Bordism Invariants of Intersections of Submanifolds

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