G‐crossed braided zesting

DOI10.1112/jlms.12816arXiv2212.05336OpenAlexW4387766515MaRDI QIDQ6199294

Colleen Delaney, Julia Yael Plavnik, Unnamed Author, César Galindo, Eric C. Rowell

Publication date: 23 February 2024

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

Full work available at URL: https://arxiv.org/abs/2212.05336

Mathematics Subject Classification ID

Obstruction theory in algebraic topology (55S35) Surgery and handlebodies (57R65) Fusion categories, modular tensor categories, modular functors (18M20) Braided monoidal categories and ribbon categories (18M15)

Cites Work

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• Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier.
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• Braided Picard groups and graded extensions of braided tensor categories
• Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six
• Trivializing group actions on braided crossed tensor categories and graded braided tensor categories
• Four dimensional topological quantum field theories from \(G\)-crossed braided categories
• On fusion categories.
• Tensor Categories
• Fusion rules of equivariantizations of fusion categories

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