27 citations · 60 across the 18 of their papers we have counts for
18 papers
Morse diagrams, Murasugi sums, and the mapping class group
Jack Brand, David Gay, Joan Licata
A combinatorial Morse structure encodes a mapping class for a surface with boundary, and the data may be efficiently represented via a Morse diagram. This diagram determines an ope…
Arc diagrams on 3-manifold spines
Jack Brand, Benjamin A. Burton, Zsuzsanna Dancso +3
We develop a theory of link projections to trivalent spines of 3-manifolds. We prove a Reidemeister Theorem providing a set of combinatorial moves sufficient to relate the projecti…
A friendly introduction to the bordered contact invariant
Akram Alishahi, Joan Licata, Ina Petkova +1
We give a short introduction to the contact invariant in bordered Floer homology defined by Földvári, Hendricks, and the authors. The construction relies on a special class of foli…
Bordered Floer homology and contact structures
Akram Alishahi, Viktória Földvári, Kristen Hendricks +3
We introduce a contact invariant in the bordered sutured Heegaard Floer homology of a three-manifold with boundary. The input for the invariant is a contact manifold $(M, ξ, \mathc…
Foliated Open Books
Joan E. Licata, Vera Vertesi
This paper introduces a new type of open book decomposition for a contact three-manifold with a specified characteristic foliation on its boundary. These \textit{fo…
Jointly primitive knots and surgeries between lens spaces
Kenneth L. Baker, Neil R. Hoffman, Joan E. Licata
This paper describes a Dehn surgery approach to generating asymmetric hyperbolic manifolds with two distinct lens space fillings. Such manifolds were first identified in work of Du…