3 papers
math.GT2025
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…
math.GT2025
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…
math.GT2025
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…