Finite type invariants of w-knotted objects. II: Tangles, foams and the Kashiwara-Vergne problem

DOI10.1007/s00208-016-1388-zzbMath1362.57005arXiv1405.1955OpenAlexW2963251877MaRDI QIDQ522640

Zsuzsanna Dancso, Dror Bar-Natan

Publication date: 18 April 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1955

zbMATH Keywords

Lie algebrasKashiwara-Vergne conjecturearrow diagramsDrinfel'd associatorw-knots

Mathematics Subject Classification ID

Related Items (17)

A topological characterisation of the Kashiwara–Vergne groups ⋮ On the Welded Tube Map ⋮ Ribbon 2-knots, \(1+1=2\) and Duflo's theorem for arbitrary Lie algebras ⋮ Over then under tangles ⋮ Categories of graphs for operadic structures ⋮ An invariant of virtual trivalent spatial graphs ⋮ Inca Foams ⋮ An unexpected cyclic symmetry of \(I \mathfrak{u}_n\) ⋮ MATRIX-MFO tandem workshop: Invariants and structures in low-dimensional topology. Abstracts from the MATRIX-MFO tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ The pure virtual braid group is quadratic. ⋮ LOCAL REPRESENTATIONS OF THE LOOP BRAID GROUP ⋮ Graphical combinatorics and a distributive law for modular operads ⋮ Milnor invariants, \(2n\)-moves and \(V^n\)-moves for welded string links ⋮ Finite type invariants of w-knotted objects. II: Tangles, foams and the Kashiwara-Vergne problem ⋮ Circuit algebras are wheeled props ⋮ Virtual tangles and fiber functors ⋮ Balloons and hoops and their universal finite-type invariant, BF theory, and an ultimate Alexander invariant

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite-type invariants of w-knotted objects. I: \(w\)-knots and the Alexander polynomial
• The Kashiwara-Vergne conjecture and Drinfeld's associators
• Finite type invariants of w-knotted objects. II: Tangles, foams and the Kashiwara-Vergne problem
• Drinfeld associators, braid groups and explicit solutions of the Kashiwara-Vergne equations
• On the Kontsevich integral for knotted trivalent graphs
• The theory of motion groups
• The Campbell-Hausdorff formula and invariant hyperfunctions
• On associators and the Grothendieck-Teichmüller group. I
• A noncommutative version of Lie algebras: Leibniz algebras
• Topological quantum field theory for the universal quantum invariant
• What is a virtual link?
• Two applications of elementary knot theory to Lie algebras and Vassiliev invariants
• Wheels, wheeling, and the Kontsevich integral of the unknot
• On the Vassiliev knot invariants
• Virtual knot theory
• Addendum and correction to: ``Homology cylinders: an enlargement of the mapping class group
• Quantization of Lie bialgebras. I
• The braid-permutation group
• Configuration spaces of rings and wickets
• A TQFT associated to the LMO invariant of three-dimensional manifolds
• On the Kashiwara-Vergne conjecture
• On the structure of Hopf algebras
• UNIVERSAL REPRESENTATIONS OF BRAID AND BRAID-PERMUTATION GROUPS
• On Basis-Conjugating Automorphisms of Free Groups
• VIRTUAL KNOT PRESENTATION OF RIBBON TORUS-KNOTS
• HOMOMORPHIC EXPANSIONS FOR KNOTTED TRIVALENT GRAPHS
• Some Dimensions of Spaces of Finite Type Invariants of Virtual Knots

This page was built for publication: Finite type invariants of w-knotted objects. II: Tangles, foams and the Kashiwara-Vergne problem