Topological steps toward the Homflypt skein module of the lens spaces L(p,1) via braids

DOI10.1142/S021821651650084XzbMath1420.57033arXiv1604.06163MaRDI QIDQ2954332

Sofia Lambropoulou, Ioannis Diamantis, Józef H. Przytycki

Publication date: 12 January 2017

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.06163

zbMATH Keywords

solid toruslens spacesmixed braidsmixed linksIwahori-Hecke algebra of type BHomflypt skein module

Mathematics Subject Classification ID

Related Items (18)

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 ⋮ 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 ⋮ Braid equivalences in 3-manifolds with rational surgery description ⋮ Tied links in various topological settings ⋮ A spanning set and potential basis of the mixed Hecke algebra on two fixed strands ⋮ 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 ⋮ The Alexander polynomial of links in lens spaces

Cites Work

• The HOMFLYPT skein module of the lens spaces \(L_{p, 1}\)
• Braid equivalences in 3-manifolds with rational surgery description
• A new basis for the homflypt skein module of the solid torus
• Topological steps toward the Homflypt skein module of the lens spaces L(p,1) via braids
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