16 citations · 66 across the 22 of their papers we have counts for
9 papers · 1 filter
Morse structures on partial open books with extendable monodromy
Joan E. Licata, Daniel V. Mathews
The first author in recent work with D. Gay developed the notion of a Morse structure on an open book as a tool for studying closed contact 3-manifolds. We extend the notion of Mor…
Polytopes, dualities, and Floer homology
Daniel V. Mathews
This article is an exposition of a body of existing results, together with an announcement of recent results. We discuss a theory of polytopes associated to bipartite graphs and tr…
Strand algebras and contact categories
Daniel V. Mathews
We demonstrate an isomorphism between the homology of the strand algebra of bordered Floer homology, and the category algebra of the contact category introduced by Honda. This isom…
Twisty itsy bitsy topological field theory
Daniel V. Mathews
We extend the topological field theory (``itsy bitsy topological field theory"') of our previous work from mod-2 to twisted coefficients. This topological field theory is derived f…
Contact topology and holomorphic invariants via elementary combinatorics
Daniel V. Mathews
In recent times a great amount of progress has been achieved in symplectic and contact geometry, leading to the development of powerful invariants of 3-manifolds such as Heegaard F…
Dimensionally-reduced sutured Floer homology as a string homology
Daniel V. Mathews, Eric Schoenfeld
We show that the sutured Floer homology of a sutured 3-manifold of the form can be expressed as the homology of a string-type complex, generated by…