41 citations · 60 across the 7 of their papers we have counts for
5 papers · 1 filter
Computing Heegaard Floer invariants of closed contact 3-manifolds from open books
Cagatay Kutluhan, Gordana Matic, Jeremy Van Horn-Morris +1
We present two SageMath programs that build on and improve upon Sucharit Sarkar's hf-hat. Given an abstract open book and a collection of pairwise disjoint properly embedded arcs o…
Fillings of genus-1 open books and 4-braids
R. Inanc Baykur, Jeremy Van Horn-Morris
We show that there are contact 3-manifolds of support genus one which admit infinitely many Stein fillings, but do not admit arbitrarily large ones. These Stein fillings arise from…
Filtering the Heegaard Floer contact invariant
Cagatay Kutluhan, Gordana Matic, Jeremy Van Horn-Morris +1
We define an invariant of contact structures in dimension three from Heegaard Floer homology. This invariant takes values in the set . It is zero…
Monoids in the mapping class group
John B. Etnyre, Jeremy Van Horn-Morris
In this article we survey, and make a few new observations about, the surprising connection between sub-monoids of mapping class groups and interesting geometry and topology in low…
The vanishing of the contact invariant in the presence of torsion
Paolo Ghiggini, Ko Honda, Jeremy Van Horn-Morris
We prove that the Ozsvath-Szabo contact invariant of a closed contact 3-manifold with positive Giroux torsion vanishes.