Pseudo links and singular links in the solid torus

DOI10.46298/CM.10438MaRDI QIDQ6585125

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Publication date: 9 August 2024

Published in: Communications in Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular knotspseudo knotsmixed pseudo linkspseudo bracket polynomialmixed pseudo braid monoidmixed singular braid monoidmixed singular linkspseudo Hecke algebra

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Braid groups; Artin groups (20F36) Other groups related to topology or analysis (20F38) Knot polynomials (57K14) Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• Title not available (Why is that?)
• Three approaches to a bracket polynomial for singular links
• Braid equivalences in 3-manifolds with rational surgery description
• Pseudo diagrams of knots, links and spatial graphs
• HOMFLYPT skein sub-modules of the Lens spaces \(L(p,1)\)
• Tied pseudo links \& pseudo knotoids
• A new basis for the homflypt skein module of the solid torus
• Singular Hecke algebras, Markov traces, and HOMFLY-type invariants
• Hecke algebra representations of braid groups and link polynomials
• Link invariants of finite type and perturbation theory
• Markov's theorem in 3-manifolds
• A lemma on systems of knotted curves.
• An alternative basis for the Kauffman bracket skein module of the solid torus via braids
• The singular baid monoid embeds in a group
• Tied links
• Monoid and group of pseudo braids
• Topological steps toward the Homflypt skein module of the lens spaces L(p,1) via braids
• Pseudo knots and an obstruction to cosmetic crossings
• New Invariants in the Theory of Knots
• Knot theory related to generalized and cyclotomic Hecke algebras of type ℬ
• Singular Braids and Markov's Theorem
• New points of view in knot theory
• An important step for the computation of the HOMFLYPT skein module of the lens spaces L(p,1) via braids
• Pseudo links in handlebodies
• Tied links in various topological settings
• The Kauffman bracket skein module of the handlebody of genus 2 via braids
• THE THEORY OF PSEUDOKNOTS
• L-MOVES AND MARKOV THEOREMS
• About presentations of braid groups and their generalizations
• VIRTUAL BRAIDS AND THE L-MOVE
• Tied links in the solid torus

Related Items (1)

Extensions of braid group representations to the monoid of singular braids

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