On the global homotopy theory of symmetric monoidal categories

zbMath1529.55018arXiv2009.07004MaRDI QIDQ6108709

Tobias Lenz

Publication date: 30 June 2023

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.07004

zbMATH Keywords

symmetric monoidal categoriesequivariant algebraic \(K\)-theoryglobal homotopy theoryparsummable categories\(G\)-global homotopy theory

Mathematics Subject Classification ID

Equivariant homotopy theory in algebraic topology (55P91) Symmetric monoidal categories (19D23)

Related Items (1)

Genuine versus naïve symmetric monoidal \(G\)-categories

Cites Work

• Equivariant \(\Gamma\)-spaces
• Equivariant algebraic \(K\)-theory of \(G\)-rings
• An inverse \(K\)-theory functor
• Infinite loop G-spaces associated to monoidal G-graded categories
• Delooping symmetric monoidal categories
• Categories and cohomology theories
• Categories and orbispaces
• Orbispaces, orthogonal spaces, and the universal compact Lie group
• Equivariant \(A\)-theory
• Complexe cotangent et déformations. II
• Homotopy Invariance of Convolution Products
• Higher algebraic K-theory: I
• Global Homotopy Theory
• Higher Categories and Homotopical Algebra
• Parsummable categories as a strictification of symmetric monoidal categories
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