Finite-type invariants of w-knotted objects. I: \(w\)-knots and the Alexander polynomial
From MaRDI portal
Publication:276597
DOI10.2140/agt.2016.16.1063zbMath1339.57006arXiv1405.1956OpenAlexW1613657861MaRDI QIDQ276597
Dror Bar-Natan, Zsuzsanna Dancso
Publication date: 4 May 2016
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.1956
Alexander polynomialfree Lie algebrasvirtual knotsFeynman diagramsassociatorsfinite-type invariants\(w\)-braids\(w\)-knots\(w\)-tanglesDuflo isomorphismKashiwara-Vergne problemknotted graphsMcCool groupMilnor invariantswelded knots
Related Items (21)
Extensions of some classical local moves on knot diagrams ⋮ A topological characterisation of the Kashiwara–Vergne groups ⋮ On the Welded Tube Map ⋮ Virtual braids and virtual curve diagrams ⋮ A journey through loop braid groups ⋮ Pure virtual braids, resonance, and formality ⋮ Ribbon 2-knots, \(1+1=2\) and Duflo's theorem for arbitrary Lie algebras ⋮ Tangle Machines ⋮ Arrow calculus for welded and classical links ⋮ Over then under tangles ⋮ An unexpected cyclic symmetry of \(I \mathfrak{u}_n\) ⋮ Taylor expansions of groups and filtered-formality ⋮ Cup products, lower central series, and holonomy Lie algebras ⋮ 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 ⋮ A Markov's theorem for extended welded braids and links ⋮ Circuit algebras are wheeled props ⋮ Chen ranks and resonance varieties of the upper McCool groups ⋮ Virtual concordance and the generalized Alexander polynomial ⋮ A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knots ⋮ Balloons and hoops and their universal finite-type invariant, BF theory, and an ultimate Alexander invariant
This page was built for publication: Finite-type invariants of w-knotted objects. I: \(w\)-knots and the Alexander polynomial
