111 citations · 386 across the 32 of their papers we have counts for
5 papers · 1 filter
Homology concordance and knot Floer homology
Irving Dai, Jennifer Hom, Matthew Stoffregen +1
We study the homology concordance group of knots in integer homology three-spheres which bound integer homology four-balls. Using knot Floer homology, we construct an infinite numb…
Homology cobordism, knot concordance, and Heegaard Floer homology
Jennifer Hom
We review some recent results in knot concordance and homology cobordism. The proofs rely on various forms of Heegaard Floer homology. We also discuss related open problems.
Getting a handle on the Conway knot
Jennifer Hom
A knot is said to be slice if it bounds a smooth disk in the 4-ball. For 50 years, it was unknown whether a certain 11 crossing knot, called the Conway knot, was slice or not, and…
A note on PL-disks and rationally slice knots
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We give infinitely many examples of manifold-knot pairs (Y, J) such that Y bounds an integer homology ball, J does not bound a non-locally-flat PL-disk in any integer homology ball…
On the quotient of the homology cobordism group by Seifert spaces
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We prove that the quotient of the integer homology cobordism group by the subgroup generated by the Seifert fibered spaces is infinitely generated.