21 citations · 22 across the 2 of their papers we have counts for
5 papers
Links with nontrivial Alexander polynomial which are topologically concordant to the Hopf link
Min Hoon Kim, David Krcatovich, JungHwan Park
We give infinitely many -component links with unknotted components which are topologically concordant to the Hopf link, but not smoothly concordant to any -component link wit…
On cobordisms between knots, braid index, and the Upsilon-invariant
Peter Feller, David Krcatovich
We use Ozsváth, Stipsicz, and Szabó's Upsilon-invariant to provide bounds on cobordisms between knots that `contain full-twists'. In particular, we recover and generalize a classic…
Resolution depth of positive braids
Elliot Kaplan, David Krcatovich, Patricia O'Brien
The depth of a link measures the minimum height of a resolving tree for the link whose leaves are all unlinks. We show that the depth of the closure of a strictly positive braid wo…
A restriction on the Alexander polynomials of -space knots
David Krcatovich
Using an invariant defined by Rasmussen, we extend an argument given by Hedden and Watson which further restricts which Alexander polynomials can be realized by -space knots.
The reduced knot Floer complex
David Krcatovich
We define a "reduced" version of the knot Floer complex , and show that it behaves well under connected sums and retains enough information to compute Heegaard Floer -…