Catalan states of lattice crossing

DOI10.1016/j.topol.2014.11.015zbMath1308.57010arXiv1409.4065OpenAlexW2964045484MaRDI QIDQ2254714

Mieczysław K. Dabkowski, Józef H. Przytycki, Changsong Li

Publication date: 6 February 2015

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

Full work available at URL: https://arxiv.org/abs/1409.4065

zbMATH Keywords

knotlinkskein moduleKauffman bracketCatalan tangles

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Abstract finite groups (20D99) Homology and cohomology theories in algebraic topology (55N99)

Related Items

Knots and Graphs: Two Centuries of Interaction ⋮ 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 ⋮ \(q\)-polynomial invariant of rooted trees ⋮ Strict unimodality of plucking polynomials of rooted trees ⋮ B-type Catalan states of lattice crossing ⋮ Realization of plucking polynomials ⋮ Catalan states of lattice crossing: an application of plucking polynomial ⋮ Rooted trees with the same plucking polynomial ⋮ Temperley–Lieb algebra approach to Catalan states of generalized crossing and lattice crossing

Cites Work

• The colored Kauffman Skein relation and the head and tail of the colored Jones polynomial
• Skein modules and the noncommutative torus
• Multiplicative structure of Kauffman bracket skein module quantizations
• An invariant of spatial graphs
• THE (2, ∞)-SKEIN MODULE OF WHITEHEAD MANIFOLDS
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