scientific article; zbMATH DE number 7741596

DOI10.4134/ckms.c210169arXiv2103.16433MaRDI QIDQ6076882

Ioannis Diamantis

Publication date: 22 September 2023

Full work available at URL: https://arxiv.org/abs/2103.16433

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

torusKauffman bracketMarkov's theorem\(L\)-movesknotoidspseudo knotoidsAlexander's theoremmulti-knotoidsbraidoidsmixed braidoidsmixed knotoidsmixed pseudo braidoidsmixed pseudo knotoidspseudo braidoids

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) Higher-dimensional knots and links (57K45) Low-dimensional topology in specific dimensions (57K99) Other geometric structures on 3-manifolds (57K35)

Related Items (3)

Invariants of multi-linkoids ⋮ 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

Cites Work

• Knotoids
• 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
• Conway and Kauffman modules of a solid torus
• Markov's theorem in 3-manifolds
• The braid approach to the HOMFLYPT skein module of the lens spaces \(L(p,1)\)
• An alternative basis for the Kauffman bracket skein module of the solid torus via braids
• The Kauffman bracket skein module of the complement of \((2, 2p + 1)\)-torus knots via 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 IN HANDLEBODIES
• 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
• VIRTUAL BRAIDS AND THE L-MOVE
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