Pseudo links in handlebodies

zbMath1484.57004arXiv2106.03488MaRDI QIDQ5028449

Ioannis Diamantis

Publication date: 9 February 2022

Full work available at URL: https://arxiv.org/abs/2106.03488

zbMATH Keywords

Jones polynomialhandlebodypseudo knotsmixed pseudo braid monoidsmixed pseudo braidsmixed pseudo linkspseudo bracket polynomialpseudo braid monoid of type Bpseudo links

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) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) 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)

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 ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• 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
• Hecke algebra representations of braid groups and link polynomials
• Markov's theorem in 3-manifolds
• An alternative basis for the Kauffman bracket skein module of the solid torus via braids
• Tabulation of prime knots in lens spaces
• Jones's polynomial for links in the handlebody
• THE SINGULAR BRAID MONOID EMBEDS IN A GROUP
• 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
• ON VASSILIEV INVARIANTS FOR LINKS IN HANDLEBODIES
• Knot theory related to generalized and cyclotomic Hecke algebras of type ℬ
• KNOT THEORY IN HANDLEBODIES
• 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
• 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

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