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• W2285961024 abstract "Modular categories are a well-known source of quantum 3-manifold invariants. In this paper we study structures on modular categories which allow to define refinements of quantum 3-manifold invariants involving cohomology classes or generalized spin and complex spin structures. A crucial role in our construction is played by objects which are invertible under tensor product. All known examples of cohomological or spin type refinements of the Witten-Reshetikhin-Turaev 3-manifold invariants are special cases of our construction. In addition, we establish a splitting formula for the refined invariants, generalizing the well-known product decomposition of quantum invariants into projective ones and those determined by the linking matrix." @default.
• W2285961024 created "2016-06-24" @default.
• W2285961024 creator A5009933083 @default.
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• W2285961024 date "2014-11-16" @default.
• W2285961024 modified "2023-10-03" @default.
• W2285961024 title "Spin Modular Categories" @default.
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• W2285961024 hasPublicationYear "2014" @default.
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