50 citations · 66 across the 2 of their papers we have counts for
8 papers
Turaev genus and alternating decompositions
Cody W. Armond, Adam M. Lowrance
We prove that the genus of the Turaev surface of a link diagram is determined by a graph whose vertices correspond to the boundary components of the maximal alternating regions of…
Heegaard diagrams corresponding to Turaev surfaces
Cody Armond, Nathan Druivenga, Thomas Kindred
We describe a correspondence between Turaev surfaces of link diagrams on and special Heegaard diagrams for adapted to links.
A counterexample to Question 1 of "A survey on the Turaev genus of knots"
Cody Armond, Moshe Cohen
In "A survey on the Turaev genus of knots," Champanerkar and Kofman propose several open questions. The first asks whether the polynomial whose coefficients count the number of qua…
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.
The head and tail conjecture for alternating knots
Cody Armond
We investigate the coefficients of the highest and lowest terms (also called the head and the tail) of the colored Jones polynomial and show that they stabilize for alternating lin…