3 papers
math.GT2023
On the rank of knot homology theories and concordance
Nathan M. Dunfield, Sherry Gong, Thomas Hockenhull +2
For a ribbon knot, it is a folk conjecture that the rank of its knot Floer homology must be 1 modulo 8, and another folk conjecture says the same about reduced Khovanov homology. W…
math.GT2022
Bordered invariants of pairs of sutured manifolds with torus boundary
Thomas Hockenhull
We establish a framework for extending invariants of sutured manifolds to invariants of pairs of sutured manifolds who differ by attaching a basic slice along a torus boundary comp…
math.GT2018
Holomorphic polygons and the bordered Heegaard Floer homology of link complements
Thomas Hockenhull
We describe the construction of an multi-module in terms of counts of holomorphic polygons in a series Heegaard multi-diagrams. We show that this is quasi-isom…