40 citations · 67 across the 18 of their papers we have counts for
9 papers · 1 filter
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…
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…
Arc diagrams on 3-manifold spines
Jack Brand, Benjamin A. Burton, Zsuzsanna Dancso +3
We develop a theory of link projections to trivalent spines of 3-manifolds. We prove a Reidemeister Theorem providing a set of combinatorial moves sufficient to relate the projecti…
Over then Under Tangles
Dror Bar-Natan, Zsuzsanna Dancso, Roland van der Veen
Over-then-Under (OU) tangles are oriented tangles whose strands travel through all of their over crossings before any under crossings. In this paper we discuss the idea of gliding:…
What is a Singular Knot?
Zsuzsanna Dancso
A singular knot is an immersed circle in with finitely many transverse double points. The study of singular knots was initially motivated by the study of Vassiliev…
Finite Type Invariants of w-Knotted Objects I: w-Knots and the Alexander Polynomial
Dror Bar-Natan, Zsuzsanna Dancso
This is the first in a series of papers studying w-knotted objects (w-knots, w-braids, w-tangles, etc.), which make a class of knotted objects which is {w}ider but {w}eaker than th…
Finite Type Invariants of w-Knotted Objects II: Tangles, Foams and the Kashiwara-Vergne Problem
Dror Bar-Natan, Zsuzsanna Dancso
This is the second in a series of papers dedicated to studying w-knots, and more generally, w-knotted objects (w-braids, w-tangles, etc.). These are classes of knotted objects that…
Finite Type Invariants of w-Knotted Objects: From Alexander to Kashiwara and Vergne
Dror Bar-Natan, Zsuzsanna Dancso
This preprint was split in two and became the first two parts of a four-part series (arXiv:1405.1956, arXiv:1405:1955, and two in preparation). The remaining relevance of this prep…
On the Kontsevich integral for knotted trivalent graphs
Zsuzsanna Dancso
We construct an extension of the Kontsevich integral of knots to knotted trivalent graphs, which commutes with orientation switches, edge deletions, edge unzips, and connected sums…