A geometric interpretation of the homotopy groups of the cobordism category

DOI10.2140/agt.2014.14.1649zbMath1331.57030arXiv1208.3370OpenAlexW3099999583MaRDI QIDQ2453734

Anne Marie Svane, Marcel Bökstedt

Publication date: 10 June 2014

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3370

zbMATH Keywords

classifying spacesfundamental groupvector fieldscobordism categoriesThom spectra

Mathematics Subject Classification ID

Homotopy groups, general; sets of homotopy classes (55Q05) Other types of cobordism (57R90)

Related Items (1)

On the simplicial volume and the Euler characteristic of (aspherical) manifolds

Cites Work

• The homotopy type of the cobordism category
• Monoids of moduli spaces of manifolds
• A van Kampen theorem for unions of non-connected spaces
• Stable moduli spaces of high-dimensional manifolds
• Cobordism and the Euler number
• The Intrinsic Join: A Study of the Homotopy Groups of Stiefel Manifolds
• COBORDISM OBSTRUCTIONS TO INDEPENDENT VECTOR FIELDS
• Vector fields on spheres
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