Modified graded Hennings invariants from unrolled quantum groups and modified integral

DOI10.1016/j.jpaa.2021.106815zbMath1505.57023arXiv2006.12050OpenAlexW3179229376MaRDI QIDQ2229958

Bertrand Patureau-Mirand, Ngoc Phu Ha, Nathan Geer

Publication date: 17 September 2021

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

Full work available at URL: https://arxiv.org/abs/2006.12050

zbMATH Keywords

discrete Fourier transformunrolled quantum groupHennings type invariantmodified integraltopological ribbon Hopf algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hopf algebras, quantum groups and related topics (16T99) Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (3)

Modified symmetrized integral in G-coalgebras ⋮ Non‐semisimple Levin–Wen models and Hermitian TQFTs from quantum (super)groups ⋮ Relative (pre)-modular categories from special linear Lie superalgebras

Cites Work

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• Topological invariants from nonrestricted quantum groups
• Generalized trace and modified dimension functions on ribbon categories
• The trace on projective representations of quantum groups
• Lusztig isomorphisms for Drinfel'd doubles of bosonizations of Nichols algebras of diagonal type
• Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier.
• A calculus for framed links in \(S^3\)
• Spherical categories
• Holomorphic deformation of Hopf algebras and applications to quantum groups
• Hopf group-coalgebras
• Renormalized Hennings invariants and \(2+1\)-TQFTs
• Factorizable \(R\)-matrices for small quantum groups
• Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity
• Traces on ideals in pivotal categories
• Modified trace is a symmetrised integral
• A Hennings type invariant of 3-manifolds from a topological Hopf superalgebra
• Modified trace from pivotal Hopf \(G\)-coalgebras
• Some remarks on the unrolled quantum group of \(\mathfrak{sl}(2)\)
• Summary of essential results in the theory of topological tensor products and nuclear spaces.
• Nonsemisimple quantum invariants and TQFTs from small and unrolled quantum groups
• Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories
• Hopf Algebras
• Modified quantum dimensions and re-normalized link invariants
• COLORED RIBBON HOPF ALGEBRAS AND UNIVERSAL INVARIANTS OF FRAMED LINKS
• Invariants of Links and 3-Manifolds Obtained from Hopf Algebras
• ORIENTED QUANTUM ALGEBRAS, CATEGORIES AND INVARIANTS OF KNOTS AND LINKS
• On unrolled Hopf algebras
• Quantum invariants of knots and 3-manifolds

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