111 citations · 386 across the 32 of their papers we have counts for
4 papers · 1 filter
Surgery obstructions and Heegaard Floer homology
Jennifer Hom, Cagri Karakurt, Tye Lidman
Using Taubes' periodic ends theorem, Auckly gave examples of toroidal and hyperbolic irreducible integer homology spheres which are not surgery on a knot in the three-sphere. We gi…
A note on the concordance invariants epsilon and upsilon
Jennifer Hom
Ozsvath-Stipsicz-Szabo recently defined a one-parameter family, upsilon of K at t, of concordance invariants associated to the knot Floer complex. We compare their invariant to the…
Berge-Gabai knots and L-space satellite operations
Jennifer Hom, Tye Lidman, Faramarz Vafaee
Let be a satellite knot where the pattern, , is a Berge-Gabai knot (i.e., a knot in the solid torus with a non-trivial solid torus Dehn surgery), and the companion, ,…
Four-ball genus bounds and a refinement of the Ozsvath-Szabo tau-invariant
Jennifer Hom, Zhongtao Wu
Based on work of Rasmussen, we construct a concordance invariant associated to the knot Floer complex, and exhibit examples in which this invariant gives arbitrarily better bounds…