162 citations · 314 across the 19 of their papers we have counts for
20 papers
Extremal Khovanov homology of Turaev genus one links
Oliver T. Dasbach, Adam M. Lowrance
The Turaev genus of a link can be thought of as a way of measuring how non-alternating a link is. A link is Turaev genus zero if and only if it is alternating, and in this viewpoin…
Equivalence of edge bicolored graphs on surfaces
Oliver T. Dasbach, Heather M. Russell
Consider the collection of edge bicolorings of a graph that is cellularly embedded on an orientable surface. In this work, we count the number of equivalence classes of such colori…
Simplicial volume of links from link diagrams
Oliver Dasbach, Anastasiia Tsvietkova
The hyperbolic volume of a link complement is known to be unchanged when a half-twist is added to a link diagram, and a suitable 3-punctured sphere is present in the complement. We…
The Head and Tail of the Colored Jones Polynomial for Adequate Knots
Oliver T. Dasbach, Cody Armond
We show that the head and tail functions of the colored Jones polynomial of adequate links are the product of head and tail functions of the colored Jones polynomial of alternating…
A reduced set of moves on one-vertex ribbon graphs coming from links
Susan Abernathy, Cody Armond, Moshe Cohen +5
Every link in R^3 can be represented by a one-vertex ribbon graph. We prove a Markov type theorem on this subset of link diagrams.
Rogers-Ramanujan type identities and the head and tail of the colored Jones polynomial
Cody Armond, Oliver T. Dasbach
We study the head and tail of the colored Jones polynomial while focusing mainly on alternating links. Various ways to compute the colored Jones polynomial for a given link give ri…