12 papers
Goldman-Turaev formality from the Kontsevich integral
Dror Bar-Natan, Zsuzsanna Dancso, Tamara Hogan +2
We present a new solution to the formality problem for the framed Goldman--Turaev Lie bialgebra, constructing Goldman-Turaev homomorphic expansions (formality isomorphisms) from th…
Genus Zero Kashiwara-Vergne Solutions from Braids
Zsuzsanna Dancso, Iva Halacheva, Guillaume Laplante-Anfossi +2
Using the language of moperads -- monoids in the category of right modules over an operad -- we reinterpret the Alekseev--Enriquez--Torossian construction of Kashiwara--Vergne (KV)…
A Reidemeister Theorem for Solid Ribbon Torus Links
Zsuzsanna Dancso, Thomas Malliaras Gavrielatos
A complete Reidemeister characterisation of welded links is a long-standing open problem. We present a Reidemeister Theorem for a related class of four-dimensional links, solid rib…
Kashiwara-Vergne solutions degree by degree
Zsuzsanna Dancso, Iva Halacheva, Guillaume Laplante-Anfossi +1
We show that solutions to the Kashiwara-Vergne problem can be extended degree by degree. This can be used to simplify the computation of a class of Drinfel'd associators, which und…
Mutation, surface graphs, and alternating links in surfaces
Hans U. Boden, Zsuzsanna Dancso, Damian J. Lin +1
In this paper, we study alternating links in thickened surfaces in terms of the lattices of integer flows on their Tait graphs. We use this approach to give a short proof of the fi…
A knot-theoretic approach to comparing the Grothendieck-Teichmüller and Kashiwara-Vergne groups
Zsuzsanna Dancso, Tamara Hogan, Marcy Robertson
Homomorphic expansions are combinatorial invariants of knotted objects, which are universal in the sense that all finite-type (Vassiliev) invariants factor through them. Homomorphi…