Symplectic structure on colorings, Lagrangian tangles and Tits buildings

DOI10.4064/ba201230-2-3OpenAlexW3137028681MaRDI QIDQ5003063

Jan Dymara, Tadeusz Januszkiewicz, Józef H. Przytycki

Publication date: 29 July 2021

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ba201230-2-3

zbMATH Keywords

rotorknotsymplectic formbranched coverLagrangianlinktangleFox coloringTits building

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Buildings and the geometry of diagrams (51E24) Groups with a (BN)-pair; buildings (20E42) Knot theory (57K10)

Cites Work

• A Lagrangian representation of tangles
• A representation of orientable combinatorial 3-manifolds
• A simple presentation for the mapping class group of an orientable surface
• Knot polynomials and generalized mutation
• A braidlike presentation of \(\text{Sp}(n,p)\)
• Einige endliche Faktorgruppen der Zopfgruppen
• Conway polynomial and oriented rotant links
• Burnside obstructions to the Montesinos-Nakanishi 3-move conjecture
• The Trieste look at Knot Theory
• Signature of rotors
• Unexpected connections between Burnside groups and knot theory
• A Lagrangian representation of tangles II
• Quantum invariants of knots and 3-manifolds
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