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Geer, Nathan; Ngoc Phu Ha; Patureau-Mirand, Bertrand

Modified symmetrized integral in \(G\)-coalgebras. (English) Zbl 1535.57020

J. Knot Theory Ramifications 32, No. 14, Article ID 2350082, 18 p. (2023).
The paper under review is devoted to modified symmetrized integrals on \(G\)-coalgebras. Using these, new invariants of links and \(3\)-manifolds are constructed. It is shown that Ohtsuki’s ribbon colored Hopf algebra associated to \(\mathfrak{sl}_2\) [T. Ohtsuki, J. Knot Theory Ramifications 2, No. 2, 211–232 (1993; Zbl 0798.57006)] leads to an example of the invariants defined in this paper.
Reviewer: Dmitry Artamonov (Moskva)

MSC:

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

Keywords:

quantum group; ribbon Hopf \(G\)-coalgebra; Hennings type invariant; modified symmetrized integral

Citations:

Zbl 0798.57006
Cite Review PDF
Full Text: DOI arXiv

References:

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