66 citations · 175 across the 12 of their papers we have counts for
16 papers
Representations of the Chekanov-Eliashberg algebra from closed exact Lagrangians I
Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini
This is the first of a series of two articles aiming at relating the compact Fukaya category of a Weinstein manifold to the derived category of finite dimensional representations o…
Products of locally conformal symplectic manifolds
Baptiste Chantraine, Kevin Sackel
Given two locally conformal symplectic (LCS) structures on manifolds and , we construct a natural -torsor of locally conformal symplectic structures on a certain c…
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…
Reeb chords of Lagrangian slices
Baptiste Chantraine
In this short note we observe that the boundary of a properly embedded compact exact Lagrangian sub-manifolds in a subcritical Weinstein domain necessarily admits Reeb chords.…
Representations, sheaves, and Legendrian torus links
Baptiste Chantraine, Lenhard Ng, Steven Sivek
We study an category associated to Legendrian links in whose objects are -dimensional representations of the Chekanov-Eliashberg differential graded al…
Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors
Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini +1
We prove that the wrapped Fukaya category of any -dimensional Weinstein manifold (or, more generally, Weinstein sector) is generated by the unstable manifolds of the index…
Positive Legendrian isotopies and Floer Theory
Baptiste Chantraine, Vincent Colin, Georgios Dimitroglou Rizell
Positive loops of Legendrian embeddings are examined from the point of view of Floer homology of Lagrangian cobordisms. This leads to new obstructions to the existence of a positiv…
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…
Noncommutative augmentation categories
Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini +1
To a differential graded algebra with coefficients in a noncommutative algebra, by dualisation we associate an -category whose objects are augmentations. This generalises…
Floer theory for Lagrangian cobordisms
Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini +1
In this article we define intersection Floer homology for exact Lagrangian cobordisms between Legendrian submanifolds in the contactisation of a Liouville manifold, provided that t…
Floer homology and Lagrangian concordance
Baptiste Chantraine, Georgios Dimitroglou Rizell, Paolo Ghiggini +1
We derive constraints on Lagrangian concordances from Legendrian submanifolds of the standard contact sphere admitting exact Lagrangian fillings. More precisely, we show that such…
A note on exact Lagrangian cobordisms with disconnected Legendrian ends
Baptiste Chantraine
We provide in this note two relevant examples of Lagrangian cobordisms. The first one gives an example of two exact Lagrangian submanifolds which cannot be composed in an exact fas…
Lagrangian concordance is not a symmetric relation
Baptiste Chantraine
We provide an explicit example of a non trivial Legendrian knot such that there exists a Lagrangian concordance from to where is the trivial Legendrian knot. We…
Bilinearised Legendrian contact homology and the augmentation category
Frédéric Bourgeois, Baptiste Chantraine
In this paper we construct an -category associated to a Legendrian submanifold of jet spaces. Objects of the category are augmentations of the Chekanov algebra…
Some non-collarable slices of Lagrangian surfaces
Baptiste Chantraine
In this note we define the notion of collarable slices of Lagrangian submanifolds. Those are slices of Lagrangian submanifolds which can be isotoped through Lagrangian submanifolds…
Lagrangian concordance of Legendrian knots
Baptiste Chantraine
In this article we define Lagrangian concordance of Legendrian knots, the analogue of smooth concordance of knots in the Legendrian category. In particular we study the relation of…