Cobordism categories and moduli spaces of odd dimensional manifolds

DOI10.1016/j.aim.2019.07.002zbMath1458.57036arXiv1606.06168OpenAlexW2963521671MaRDI QIDQ2319884

Nathan Perlmutter, Fabian Hebestreit

Publication date: 20 August 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06168

zbMATH Keywords

cobordism categoriesdiffeomorphism groupsodd-dimensional manifoldsparametrized surgery

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Surgery and handlebodies (57R65) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Other types of cobordism (57R90) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Infinite loop spaces (55P47) Surgery obstructions, Wall groups (57R67)

Related Items (3)

The positive scalar curvature cobordism category ⋮ Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds ⋮ Finiteness properties of automorphism spaces of manifolds with finite fundamental group

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