Modified symmetrized integral in G-coalgebras

DOI10.1142/s0218216523500827arXiv2209.04691MaRDI QIDQ6191181

Bertrand Patureau-Mirand, Nathan Geer, Ngoc Phu Ha

Publication date: 6 March 2024

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.04691

zbMATH Keywords

quantum groupHennings type invariantmodified symmetrized integralribbon Hopf \(G\)-coalgebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Cites Work

• Generalized trace and modified dimension functions on ribbon categories
• Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier.
• Hopf group-coalgebras
• 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 graded Hennings invariants from unrolled quantum groups and modified integral
• Modified trace from pivotal Hopf \(G\)-coalgebras
• Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories
• INVARIANTS OF COLORED LINKS
• COLORED RIBBON HOPF ALGEBRAS AND UNIVERSAL INVARIANTS OF FRAMED LINKS
• Invariants of Links and 3-Manifolds Obtained from Hopf Algebras

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