Ambidextrous objects and trace functions for nonsemisimple categories

DOI10.1090/S0002-9939-2013-11563-7zbMath1280.18005arXiv1106.4477OpenAlexW2049825111MaRDI QIDQ2845445

Jonathan R. Kujawa, Nathan Geer, Bertrand Patureau-Mirand

Publication date: 30 August 2013

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

Full work available at URL: https://arxiv.org/abs/1106.4477

zbMATH Keywords

projective objectright traceadditive pivotal category

Mathematics Subject Classification ID

Related Items (31)

Non-semisimple 3-manifold invariants derived from the Kauffman bracket ⋮ M-traces in (non-unimodular) pivotal categories ⋮ Non-semi-simple TQFTs, Reidemeister torsion and Kashaev's invariants ⋮ Mapping class group representations from non-semisimple TQFTs ⋮ Topological invariants from quantum group \(\mathcal {U}_{\xi }\mathfrak {sl}(2|1)\) at roots of unity ⋮ McKay matrices for finite-dimensional Hopf algebras ⋮ Nonsemisimple quantum invariants and TQFTs from small and unrolled quantum groups ⋮ Renormalized Hennings invariants and \(2+1\)-TQFTs ⋮ Non-semisimple extended topological quantum field theories ⋮ Logarithmic conformal field theory, log-modular tensor categories and modular forms ⋮ Gruson-Serganova character formulas and the Duflo-Serganova cohomology functor ⋮ The trace field theory of a finite tensor category ⋮ The differential graded Verlinde formula and the Deligne Conjecture ⋮ \(\mathrm{SL}_2\) tilting modules in the mixed case ⋮ Modified Turaev-Viro invariants from quantum 𝔰𝔩(2|1) ⋮ Non‐semisimple Levin–Wen models and Hermitian TQFTs from quantum (super)groups ⋮ Modified traces and the Nakayama functor ⋮ Logarithmic Hennings invariants for restricted quantum \(\mathfrak{s}\mathfrak{l}\)(2) ⋮ The trace on projective representations of quantum groups ⋮ Modified traces for quasi-Hopf algebras ⋮ Modified trace is a symmetrised integral ⋮ A Hennings type invariant of 3-manifolds from a topological Hopf superalgebra ⋮ Simple current extensions beyond semi-simplicity ⋮ Modified trace from pivotal Hopf \(G\)-coalgebras ⋮ Projective objects and the modified trace in factorisable finite tensor categories ⋮ Generalized negligible morphisms and their tensor ideals ⋮ Schur-Weyl duality for Heisenberg cosets ⋮ 3-dimensional TQFTs from non-semisimple modular categories ⋮ Kuperberg and Turaev-Viro invariants in unimodular categories ⋮ Extended TQFTs from non-semisimple modular categories ⋮ G-LINKS INVARIANTS, MARKOV TRACES AND THE SEMI-CYCLIC U_q𝔰𝔩(2)-MODULES

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