6 papers
Calabi-Yau structure on the Chekanov-Eliashberg algebra of a Legendrian sphere
Noémie Legout
In this paper, we prove that the Chekanov-Eliashberg algebra of an horizontally displaceable n-dimensional Legendrian sphere in the contactisation of a Liouville manifold is a (n+1…
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…
Doubly slice knots and obstruction to Lagrangian concordance
Baptiste Chantraine, Noémie Legout
In this short note we observe that a result of Eliashberg and Polterovitch allows to use the doubly slice genus as an obstruction for a Legendrian knot to be a slice of a concordan…
Constructions of Lagrangian cobordisms
Sarah Blackwell, Noémie Legout, Caitlin Leverson +6
Lagrangian cobordisms between Legendrian knots arise in Symplectic Field Theory and impose an interesting and not well-understood relation on Legendrian knots. There are some known…
A-infinity category of Lagrangian cobordisms in the symplectization of PxR
Noémie Legout
We define a unital -category whose objects are exact Lagrangian cobordisms in the symplectization of , with negative cylindrical ends over Legendrian…
Product structures in Floer theory for Lagrangian cobordisms
Noémie Legout
We construct a product on the Floer complex associated to a pair of Lagrangian cobordisms. More precisely, given three exact transverse Lagrangian cobordisms in the symplectization…