On the graded center of graded categories

DOI10.1016/j.jpaa.2013.01.011zbMath1301.18012arXiv1208.5696OpenAlexW2962760865MaRDI QIDQ392129

Alexis Virelizier, Vladimir G. Turaev

Publication date: 13 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5696

zbMATH Keywords

homotopy quantum field theory\(G\)-centers\(G\)-graded monoidal categories\(G\)-modular categoryspherical \(G\)-fusion category

Mathematics Subject Classification ID

Related Items (9)

Spectral sequences for Hochschild cohomology and graded centers of derived categories ⋮ Hopf polyads ⋮ Equivariant Morita theory for graded tensor categories ⋮ Pivotal weak Turaev \(\pi \)-coalgebras ⋮ State sum constructions of spin-TFTs and string net constructions of fermionic phases of matter ⋮ A \(G\)-equivariant string-net construction ⋮ Unnamed Item ⋮ On 3-dimensional homotopy quantum field theory III: Comparison of two approaches ⋮ On 3-dimensional homotopy quantum field theory II: The surgery approach

Cites Work

• Unnamed Item
• Hopf monads on monoidal categories
• Centers of graded fusion categories
• Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier.
• From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
• Equivariant modular categories via Dijkgraaf-Witten theory
• Hopf monads
• Quantum double of Hopf monads and categorical centers
• ON 3-DIMENSIONAL HOMOTOPY QUANTUM FIELD THEORY, I
• Quantum invariants of knots and 3-manifolds
• The monoidal center construction and bimodules
• Monads on tensor categories

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