The Alexander polynomial for closed braids in lens spaces

DOI10.1016/j.jpaa.2019.106253zbMath1476.57017arXiv1901.01191OpenAlexW2981816137WikidataQ126985191 ScholiaQ126985191MaRDI QIDQ2301985

E. Horvat, Boštjan Gabrovšek

Publication date: 25 February 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01191

zbMATH Keywords

Alexander polynomialBurau representationmixed braidsmixed braid grouplinks in lens spaces

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Topological methods in group theory (57M07) Knot polynomials (57K14)

Cites Work

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• Equivalence of two diagram representations of links in lens spaces and essential invariants
• The HOMFLYPT skein module of the lens spaces \(L_{p, 1}\)
• Braid equivalences in 3-manifolds with rational surgery description
• A representation of orientable combinatorial 3-manifolds
• A new basis for the homflypt skein module of the solid torus
• Twisted Alexander polynomial for finitely presentable groups
• Markov's theorem in 3-manifolds
• Diffeomorphic vs isotopic links in Lens spaces
• On knots and links in lens spaces
• Knot invariants in lens spaces
• Tabulation of prime knots in lens spaces
• On the Alexander polynomial
• Topological steps toward the Homflypt skein module of the lens spaces L(p,1) via braids
• KAUFFMAN BRACKET SKEIN MODULE OF THE CONNECTED SUM OF TWO PROJECTIVE SPACES
• KAUFFMAN BRACKET SKEIN MODULE OF A FAMILY OF PRISM MANIFOLDS
• TWISTED ALEXANDER POLYNOMIAL OF LINKS IN THE PROJECTIVE SPACE
• Knot theory related to generalized and cyclotomic Hecke algebras of type ℬ
• The Dubrovnik and Kauffman skein modules of the lens spaces Lp,1
• The Alexander polynomial of links in lens spaces
• Algebraic Markov equivalence for links in three-manifolds

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