An additivity theorem for cobordism categories

DOI10.2140/AGT.2021.21.601zbMath1475.57046arXiv1805.04100OpenAlexW2801783233MaRDI QIDQ2035039

Wolfgang Steimle

Publication date: 23 June 2021

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

Full work available at URL: https://arxiv.org/abs/1805.04100

zbMATH Keywords

algebraic \(K\)-theorycobordism category

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Other types of cobordism (57R90) (Q)- and plus-constructions (19D06)

Related Items (4)

Degeneracies in quasi-categories ⋮ Locally (co)Cartesian fibrations as realisation fibrations and the classifying space of cospans ⋮ Two-variable fibrations, factorisation systems and -categories of spans ⋮ The homotopy type of the topological cobordism category

Cites Work

• The homotopy type of the cobordism category
• Degeneracies in quasi-categories
• Categories and cohomology theories
• On the local triviality of the restriction map for embeddings
• Topologie de certains espaces de plongements
• Higher algebraic K-theory: I
• On cobordism of manifolds with corners
• On the h -Cobordism Category I
• Fibrations of $\infty$-categories
• A cobordism model for Waldhausen K‐theory
• Cobordism categories of manifolds with corners
• Higher Topos Theory (AM-170)

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