Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Vertesi, Vera"'
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
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
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 3139-3197
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
Autor:
Vértesi, Vera
The support norm $sn(\xi)$ of a contact structure $\xi$ is the minimum of the negative Euler characteristics of the pages of the open books supporting $\xi$. In this paper we prove additivity of the support norm for tight contact structures.
Com
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Externí odkaz:
http://arxiv.org/abs/1902.08030
Autor:
Etnyre, John, Vértesi, Vera
In this paper we study Legendrian knots in the knot types of satellite knots. In particular, we classify Legendrian Whitehead patterns and learn a great deal about Legendrian braided patterns. We also show how the classification of Legendrian pattern
Externí odkaz:
http://arxiv.org/abs/1608.05695
Autor:
Petkova, Ina, Vértesi, Vera
This paper is a short introduction to the combinatorial version of tangle Floer homology defined in "Combinatorial tangle Floer homology". There are two equivalent definitions---one in terms of strand diagrams, and one in terms of bordered grid diagr
Externí odkaz:
http://arxiv.org/abs/1604.08430
Publikováno v:
Advances in Mathematics 350 (2019) 130-189
We identify the Grothendieck group of the tangle Floer dg algebra with a tensor product of certain $U_q(gl(1|1))$ representations. Under this identification, up to a scalar factor, the map on the Grothendieck group induced by the tangle Floer dg bimo
Externí odkaz:
http://arxiv.org/abs/1510.03483