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On Kauffman bracket skein modules at roots of unity.(English)Zbl 1315.57027

Summary: We reprove and expand results ofF. Bonahon andH. Wong [Geom. Topol. 15, No. 3, 1569–1615 (2011;Zbl 1227.57003), “Representations of the Kauffman bracket skein algebra I: invariants and miraculous cancellations”,arXiv:1206.1638] on central elements of the Kauffman bracket skein modules at roots of 1 and on the existence of the Chebyshev homomorphism, using elementary skein methods.

MSC:

57N10 Topology of general \(3\)-manifolds (MSC2010)
57M25 Knots and links in the \(3\)-sphere (MSC2010)

Citations:

Zbl 1227.57003

Cite

References:

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[2]F Bonahon, H Wong, Representations of the Kauffman skein algebra I: Invariants and miraculous cancellations, ·Zbl 1383.57015
[3]F Bonahon, H Wong, Quantum traces for representations of surface groups in \(\mathrm{SL}_2(\mathbb C)\), Geom. Topol. 15 (2011) 1569 ·Zbl 1227.57003 ·doi:10.2140/gt.2011.15.1569
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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