HOMOMORPHIC EXPANSIONS FOR KNOTTED TRIVALENT GRAPHS

DOI10.1142/S0218216512501374zbMath1270.57038arXiv1103.1896WikidataQ122233825 ScholiaQ122233825MaRDI QIDQ4908224

Dror Bar-Natan, Zsuzsanna Dancso

Publication date: 5 March 2013

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

Full work available at URL: https://arxiv.org/abs/1103.1896

zbMATH Keywords

expansionKontsevich integralassociatorknotted trivalent graphsuniversal finite type invariant

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Relations of low-dimensional topology with graph theory (57M15)

Related Items (4)

Unnamed Item ⋮ The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem ⋮ Finite type invariants of w-knotted objects. II: Tangles, foams and the Kashiwara-Vergne problem ⋮ Virtual tangles and fiber functors

Cites Work

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• On associators and the Grothendieck-Teichmüller group. I
• Topological quantum field theory for the universal quantum invariant
• On a universal perturbative invariant of 3-manifolds
• Two applications of elementary knot theory to Lie algebras and Vassiliev invariants
• Wheels, wheeling, and the Kontsevich integral of the unknot
• The Århus integral of rational homology 3-spheres III: Relation with the Le-Murakami-Ohtsuki invariant
• On the Vassiliev knot invariants
• The Århus integral of rational homology 3-spheres. I: A highly non trivial flat connection on \(S ^3\)
• The Århus integral of rational homology 3-spheres. II: Invariance and universality
• Representation of the category of tangles by Kontsevich's iterated integral
• A TQFT associated to the LMO invariant of three-dimensional manifolds
• The Kontsevich integral

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