The Kauffman bracket skein module of the lens spaces via unoriented braids
DOI10.1142/s0219199722500766arXiv2204.00410MaRDI QIDQ6154989
Publication date: 16 February 2024
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.00410
solid torusskein moduleKauffman bracketlens spacesmixed braidsmixed linksbraid group of type Bgeneralized Hecke algebra of type Bgeneralized Temperley-Lieb algebra of type Bunoriented braids
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)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The HOMFLYPT skein module of the lens spaces \(L_{p, 1}\)
- Braid equivalences in 3-manifolds with rational surgery description
- 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
- Link diagrams in Seifert manifolds and applications to skein modules
- The braid approach to the HOMFLYPT skein module of the lens spaces \(L(p,1)\)
- The Kauffman bracket skein module of \(S^ 1\times S^ 2\)
- Framization of a Temperley-Lieb algebra of type \(\mathtt{B}\)
- An alternative basis for the Kauffman bracket skein module of the solid torus via braids
- Tabulation of prime knots in lens spaces
- Topological steps toward the Homflypt skein module of the lens spaces L(p,1) via braids
- Dichromatic Link Invariants
- A polynomial invariant for knots via von Neumann algebras
- Knot theory related to generalized and cyclotomic Hecke algebras of type ℬ
- THE (2, ∞)-SKEIN MODULE OF LENS SPACES: A GENERALIZATION OF THE JONES POLYNOMIAL
- 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
- Algebraic Markov equivalence for links in three-manifolds
This page was built for publication: The Kauffman bracket skein module of the lens spaces via unoriented braids
