KNOT THEORY IN HANDLEBODIES

DOI10.1142/S0218216502002050zbMath1023.57009arXivmath/0405502MaRDI QIDQ4414949

Sofia Lambropoulou, Reinhard Häring-Oldenburg

Publication date: 10 August 2003

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

Full work available at URL: https://arxiv.org/abs/math/0405502

zbMATH Keywords

knotslinksMarkov theoremhandlebodybraid

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36)

Related Items (16)

Tied pseudo links \& pseudo knotoids ⋮ The Kauffman bracket skein module of the complement of \((2, 2p + 1)\)-torus knots via braids ⋮ Pseudo links in handlebodies ⋮ Handlebody diagram algebras ⋮ ABELIAN AND METABELIAN QUOTIENT GROUPS OF SURFACE BRAID GROUPS ⋮ Unnamed Item ⋮ L-MOVES AND MARKOV THEOREMS ⋮ POSITIVE PRESENTATIONS OF SURFACE BRAID GROUPS ⋮ 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 ⋮ Braidoids ⋮ HOMFLYPT homology for links in handlebodies via type \textsf{A} Soergel bimodules ⋮ The \(L\)-move and Markov theorems for trivalent braids ⋮ The Kauffman bracket skein module of the handlebody of genus 2 via braids ⋮ VIRTUAL BRAIDS AND THE L-MOVE

Cites Work

• Hecke algebra representations of braid groups and link polynomials
• Dichromatic Link Invariants
• Knot theory related to generalized and cyclotomic Hecke algebras of type ℬ
• A HOMFLY-PT POLYNOMIAL OF LINKS IN A SOLID TORUS

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