Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Licata, Joan"'
Autor:
Licata, Joan, Vértesi, Vera
In an earlier paper, the authors proved the Giroux Correspondence for tight contact $3$-manifolds via convex Heegaard surfaces. Simultaneously, Breen, Honda and Huang gave an all-dimensions proof of the Giroux Correspondence by generalising convex su
Externí odkaz:
http://arxiv.org/abs/2408.01079
Autor:
Licata, Joan, Vértesi, Vera
This paper presents a new proof of the Giroux Correspondence for tight contact $3$-manifolds using techniques from Heegaard splittings and convex surface theory. We introduce tight Heegaard splittings, which generalise the Heegaard splittings natural
Externí odkaz:
http://arxiv.org/abs/2309.11828
Autor:
Brand, Jack, Burton, Benjamin A., Dancso, Zsuzsanna, He, Alexander, Jackson, Adele, Licata, Joan
Publikováno v:
Discrete Comput. Geom. 71, 1190-1209 (2024)
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 projections of isotopic links. We also show that any link admits a crossingles
Externí odkaz:
http://arxiv.org/abs/2202.02007
Publikováno v:
Open Book Series 5 (2022) 1-30
We give a short introduction to the contact invariant in bordered Floer homology defined by F\"oldv\'ari, Hendricks, and the authors. The construction relies on a special class of foliated open books. We discuss a procedure to obtain such a foliated
Externí odkaz:
http://arxiv.org/abs/2104.07616
Autor:
Licata, Joan E., Vértesi, Vera
Publikováno v:
Open Book Series 5 (2022) 309-324
Morse foliated open books were introduced by the autors (along with abstract and embedded versions) as a tool for studying contact manifolds with boundary, and this article illustrates the advantages of the Morse perspective. We use this to extend th
Externí odkaz:
http://arxiv.org/abs/2104.06705
Autor:
Alishahi, Akram, Földvári, Viktória, Hendricks, Kristen, Licata, Joan, Petkova, Ina, Vértesi, Vera
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 $(M, \xi, \mathcal{F})$ whose convex boundary is equipped with a signed singular fol
Externí odkaz:
http://arxiv.org/abs/2011.08672
Autor:
Licata, Joan E., Vertesi, Vera
This paper introduces a new type of open book decomposition for a contact three-manifold with a specified characteristic foliation $\mathcal{F}_\xi$ on its boundary. These \textit{foliated open books} offer a finer tool for studying contact manifolds
Externí odkaz:
http://arxiv.org/abs/2002.01752
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 Dunfield-Hoffman-Licata as the result of a computer search of the SnapPy
Externí odkaz:
http://arxiv.org/abs/1904.03268
Publikováno v:
Michigan Math. J., 70 (2021), 869-888
This paper introduces techniques for computing a variety of numerical invariants associated to a Legendrian knot in a contact manifold presented by an open book with a Morse structure. Such a Legendrian knot admits a front projection to the boundary
Externí odkaz:
http://arxiv.org/abs/1812.05886
Autor:
Licata, Joan E., Mathews, Daniel V.
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 Morse structure to extendable partial open books in order to study contac
Externí odkaz:
http://arxiv.org/abs/1702.07547