A new basis for the homflypt skein module of the solid torus

DOI10.1016/j.jpaa.2015.06.014zbMath1361.57018arXiv1412.3642OpenAlexW2963304221MaRDI QIDQ888835

Ioannis Diamantis, Sofia Lambropoulou

Publication date: 2 November 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3642

zbMATH Keywords

solid torushandle sliding moveHecke algebra of type \(B\)Homflypt skein module

Mathematics Subject Classification ID

Related Items (16)

HOMFLYPT skein sub-modules of the Lens spaces \(L(p,1)\) ⋮ Tied pseudo links \& pseudo knotoids ⋮ Tabulation of prime knots in lens spaces ⋮ Homflypt skein theory, string topology and 2-categories ⋮ Congruence skein relations for colored HOMFLY-PT invariants ⋮ Invariants of multi-linkoids ⋮ 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 ⋮ The Kauffman bracket skein module of the complement of \((2, 2p + 1)\)-torus knots via braids ⋮ Pseudo links in handlebodies ⋮ On the KBSM of links in lens spaces ⋮ Unnamed Item ⋮ Tied links in various topological settings ⋮ The Alexander polynomial for closed braids in lens spaces ⋮ The Kauffman bracket skein module of the handlebody of genus 2 via braids ⋮ An important step for the computation of the HOMFLYPT skein module of the lens spaces L(p,1) via braids

Cites Work

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• Conway and Kauffman modules of a solid torus
• Hecke algebra representations of braid groups and link polynomials
• Markov's theorem in 3-manifolds
• Some Hecke-type algebras derived from the braid group with two fixed strands
• Hecke algebras, modular categories and 3-manifolds quantum invariants
• Dichromatic Link Invariants
• Knot theory related to generalized and cyclotomic Hecke algebras of type ℬ
• Algebraic Markov equivalence for links in three-manifolds

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