14 citations · 22 across the 7 of their papers we have counts for
9 papers
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…
Fibered ribbon pretzels
Ana G. Lecuona, Andy Wand
We classify fibered ribbon pretzel knots up to mutation. The classification is complete, except perhaps for members of Lecuona's ``exceptional'' family of [Lec15]. The result is ob…
Stein-fillability and positivity in the mapping class group
Vitalijs Brejevs, Andy Wand
We construct an infinite family of non-positive open books with once-punctured torus pages that support Stein-fillable contact structures. Combined with a result of Wendl, this all…
Stein-fillable open books of genus one that do not admit positive factorisations
Vitalijs Brejevs, Andy Wand
We construct an infinite family of genus one open book decompositions supporting Stein-fillable contact structures and show that their monodromies do not admit positive factorisati…
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…
Algebraic torsion via Heegaard Floer homology
Cagatay Kutluhan, Gordana Matic, Jeremy Van Horn-Morris +1
We outline Hutchings's prescription that produces an ECH analog of Latschev and Wendl's algebraic -torsion in the context of , a variant of ECH used in a proof of the isomo…
Tightness is preserved by Legendrian surgery
Andy Wand
This paper describes a characterization of tightness of closed contact 3-manifolds in terms of supporting open book decompositions. The main result is that tightness of a closed co…
Mapping class group relations, Stein fillings, and planar open book decompositions
Andy Wand
The aim of this paper is to use mapping class group relations to approach the `geography' problem for Stein fillings of a contact 3-manifold. In particular, we adapt a formula of E…
Factorizations of diffeomorphisms of compact surfaces with boundary
Andy Wand
We study diffeomorphisms of compact, oriented surfaces, developing methods of distinguishing those which have positive factorizations into Dehn twists from those which satisfy the…