A computation of the Kontsevich integral of torus knots

DOI10.2140/AGT.2004.4.1155zbMath1082.57009arXivmath/0404264OpenAlexW3100812421MaRDI QIDQ1766297

Julien Marché

Publication date: 28 February 2005

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404264

zbMATH Keywords

torus knotsKontsevich integralfinite type invariants

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56)

Related Items (2)

The 3-loop polynomial of knots obtained by plumbing the doubles of two knots ⋮ Asymptotic Vassiliev Invariants for Vector Fields

Cites Work

• Noninjectivity of the ``hair map
• Higher order terms in the Melvin-Morton expansion of the colored Jones polynomial
• Two applications of elementary knot theory to Lie algebras and Vassiliev invariants
• Wheels, wheeling, and the Kontsevich integral of the unknot
• Whitehead doubling persists
• A cabling formula for the 2-loop polynomial of knots
• A rationality conjecture about Kontsevich integral of knots and its implications to the structure of the colored Jones polynomial
• On Kontsevich integral of torus knots
• A rational noncommutative invariant of boundary links
• Finite type invariants of cyclic branched covers

This page was built for publication: A computation of the Kontsevich integral of torus knots