The HOMFLYPT skein module of the lens spaces \(L_{p, 1}\)

DOI10.1016/j.topol.2014.07.003zbMath1298.57012OpenAlexW2039474510MaRDI QIDQ401455

Maciej Mroczkowski, Boštjan Gabrovšek

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.07.003

zbMATH Keywords

knotslinksLens spacesskein modules

Mathematics Subject Classification ID

Related Items (13)

HOMFLYPT skein sub-modules of the Lens spaces \(L(p,1)\) ⋮ Tabulation of prime knots in lens spaces ⋮ Homflypt skein theory, string topology and 2-categories ⋮ Topological steps toward the Homflypt skein module of the lens spaces L(p,1) via braids ⋮ The Kauffman bracket skein module of the lens spaces via unoriented braids ⋮ On the KBSM of links in lens spaces ⋮ The Dubrovnik and Kauffman skein modules of the lens spaces Lp,1 ⋮ Braid equivalences in 3-manifolds with rational surgery description ⋮ Diffeomorphic vs isotopic links in Lens spaces ⋮ The Alexander polynomial for closed braids in lens spaces ⋮ New skein invariants of links ⋮ An important step for the computation of the HOMFLYPT skein module of the lens spaces L(p,1) via braids ⋮ The Alexander polynomial of links in lens spaces

Cites Work

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• Conway and Kauffman modules of a solid torus
• KBSM of the product of a disk with two holes and \(S^1\)
• Shadow links and face models of statistical mechanics
• Dichromatic Link Invariants
• A new polynomial invariant of knots and links
• Invariants of links of Conway type

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