Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Murphy, Emmy"'
Autor:
Capovilla-Searle, Orsola, Legout, Noémie, Limouzineau, Maÿlis, Murphy, Emmy, Pan, Yu, Traynor, Lisa
Given an immersed, Maslov-$0$, exact Lagrangian filling of a Legendrian knot, if the filling has a vanishing index and action double point, then through Lagrangian surgery it is possible to obtain a new immersed, Maslov-$0$, exact Lagrangian filling
Externí odkaz:
http://arxiv.org/abs/2207.13205
Autor:
Acu, Bahar, Capovilla-Searle, Orsola, Gadbled, Agnès, Marinković, Aleksandra, Murphy, Emmy, Starkston, Laura, Wu, Angela
We study the interactions between toric manifolds and Weinstein handlebodies. We define a partially-centered condition on a Delzant polytope, which we prove ensures that the complement of a corresponding partial smoothing of the toric divisor support
Externí odkaz:
http://arxiv.org/abs/2012.08666
Autor:
Acu, Bahar, Capovilla-Searle, Orsola, Gadbled, Agnès, Marinković, Aleksandra, Murphy, Emmy, Starkston, Laura, Wu, Angela
In this article, we provide an introduction to an algorithm for constructing Weinstein handlebodies for complements of certain smoothed toric divisors using explicit coordinates and a simple example. This article also serves to welcome newcomers to W
Externí odkaz:
http://arxiv.org/abs/2002.07983
Autor:
Murphy, Emmy
Arboreal singularities are an important class of Lagrangian singularities. They are conical, meaning that they can be understood by studying their links, which are singular Legendrian spaces in $S^{2n-1}_{\text{std}}$. Loose Legendrians are a class o
Externí odkaz:
http://arxiv.org/abs/1902.05056
Autor:
Casals, Roger, Murphy, Emmy
In this article we associate a combinatorial differential graded algebra to a cubic planar graph G. This algebra is defined combinatorially by counting binary sequences, which we introduce, and several explicit computations are provided. In addition,
Externí odkaz:
http://arxiv.org/abs/1705.01034
Autor:
Casals, Roger, Murphy, Emmy
Publikováno v:
Duke Math. J. 168, no. 2 (2019), 225-323
In this article we study Weinstein structures endowed with a Lefschetz fibration in terms of the Legendrian front projection. First we provide a systematic recipe for translating from a Weinstein Lefschetz bifibration to a Legendrian handlebody. Then
Externí odkaz:
http://arxiv.org/abs/1610.06977
Autor:
Chantraine, Baptiste, Murphy, Emmy
We prove a version of the Arnol'd conjecture for Lagrangian submanifolds of conformal symplectic manifolds: a Lagrangian $L$ which has non-zero Morse-Novikov homology for the restriction of the Lee form $\beta$ cannot be disjoined from itself by a $C
Externí odkaz:
http://arxiv.org/abs/1606.00861
Autor:
Murphy, Emmy, Siegel, Kyler
Publikováno v:
Geom. Topol. 22 (2018) 2367-2401
We introduce a class of Weinstein domains which are sublevel sets of flexible Weinstein manifolds but are not themselves flexible. These manifolds exhibit rather subtle behavior with respect to both holomorphic curve invariants and symplectic flexibi
Externí odkaz:
http://arxiv.org/abs/1510.01867
Autor:
Eliashberg, Yakov, Murphy, Emmy
We establish an existence $h$-principle for symplectic cobordisms of dimension $2n>4$ with concave overtwisted contact boundary.
Comment: 40 pages, 15 figures. The paper is significantly expanded following comments of anonymous referees. The mai
Comment: 40 pages, 15 figures. The paper is significantly expanded following comments of anonymous referees. The mai
Externí odkaz:
http://arxiv.org/abs/1504.06312
We establish geometric criteria to decide whether a contact manifold is overtwisted. Starting with the original definition, we first relate the different overtwisted disks in each dimension and show that a manifold is overtwisted if the Legendrian un
Externí odkaz:
http://arxiv.org/abs/1503.06221