3 papers
math.GT2012
A note on quasi-alternating Montesinos links
Abhijit Champanerkar, Philip Ording
Quasi-alternating links are a generalization of alternating links. They are homologically thin for both Khovanov homology and knot Floer homology. Recent work of Greene and joint w…
math.GT2011
Constructing doubly-pointed Heegaard diagrams compatible with (1,1) knots
Philip Ording
A (1,1) knot K in a 3-manifold M is a knot that intersects each solid torus of a genus 1 Heegaard splitting of M in a single trivial arc. Choi and Ko developed a parameterization o…
math.GT2005
The Ozsv{á}th-Szab{ó} and Rasmussen concordance invariants are not equal
Matthew Hedden, Philip Ording
In this paper we present several counterexamples to Rasmussen's conjecture that the concordance invariant coming from Khovanov homology is equal to twice the invariant coming from…