79 citations · 176 across the 12 of their papers we have counts for
16 papers
Obstructions to reversing Lagrangian surgery in Lagrangian fillings
Orsola Capovilla-Searle, Noémie Legout, Maÿlis Limouzineau +3
Given an immersed, Maslov-, exact Lagrangian filling of a Legendrian knot, if the filling has a vanishing index and action double point, then through Lagrangian surgery it is po…
Weinstein handlebodies for complements of smoothed toric divisors
Bahar Acu, Orsola Capovilla-Searle, Agnès Gadbled +4
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 comple…
Arboreal singularities and loose Legendrians I
Emmy Murphy
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 Legendr…
Differential algebra of cubic planar graphs
Roger Casals, Emmy Murphy
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 i…
Legendrian Fronts for Affine Varieties
Roger Casals, Emmy Murphy
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 f…
Conformal symplectic geometry of cotangent bundles
Baptiste Chantraine, Emmy Murphy
We prove a version of the Arnol'd conjecture for Lagrangian submanifolds of conformal symplectic manifolds: a Lagrangian which has non-zero Morse-Novikov homology for the restr…