Catalan states of lattice crossing: an application of plucking polynomial

DOI10.1016/J.TOPOL.2018.12.003zbMath1426.57038arXiv1711.05328OpenAlexW2963963366WikidataQ128746926 ScholiaQ128746926MaRDI QIDQ1710629

Mieczysław K. Dabkowski, Józef H. Przytycki

Publication date: 23 January 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05328

zbMATH Keywords

skein moduleKauffman bracket polynomialknots and linksGaussian polynomialCatalan statesplane rooted treeplucking polynomial

Mathematics Subject Classification ID

Knot theory (57K10) Invariants of 3-manifolds (including skein modules, character varieties) (57K31)

Related Items (4)

Coefficients of catalan states without nesting and maximal number of returns ⋮ On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere ⋮ B-type Catalan states of lattice crossing ⋮ Rooted trees with the same plucking polynomial

Cites Work

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• \(q\)-polynomial invariant of rooted trees
• Rings of \(SL_2(\mathbb{C})\)-characters and the Kauffman bracket skein module
• On skein algebras and \(Sl_2(\mathbb{C})\)-character varieties
• Catalan states of lattice crossing
• Realization of plucking polynomials
• The colored Kauffman Skein relation and the head and tail of the colored Jones polynomial
• On Knots. (AM-115)
• Skein modules and the noncommutative torus
• Strict unimodality of plucking polynomials of rooted trees
• Multiplicative structure of Kauffman bracket skein module quantizations
• THE (2, ∞)-SKEIN MODULE OF WHITEHEAD MANIFOLDS

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