8 citations · 14 across the 11 of their papers we have counts for
11 papers
Multisections and bridge positions in arbitrary dimensions
Sylvain Courte, Delphine Moussard, Qiuyu Ren +1
Multisections were defined by Ben Aribi--Courte--Golla--Moussard as a way to decompose closed manifolds into -handlebodies, which is a generalization of Heegaard splittings and…
A topological classification of generating functions
Sylvain Courte, Vivek Shende
From a generating function for a Legendrian in a -jet bundle, we may extract the following topological information: (1) a trivialization of the stable Gauss map, (2) the sheaf o…
On the parametrised Whitehead torsion of families of nearby Lagrangian submanifolds
Sylvain Courte, Noah Porcelli
Motivated by the strong nearby Lagrangian conjecture, we constrain the parametrised Whitehead torsion of a family of closed exact Lagrangian submanifolds in a cotangent bundle. We…
Normal invariant of nearby Lagrangians via twisted derivative
Mohammed Abouzaid, Daniel Álvarez-Gavela, Sylvain Courte +1
Let and be closed, connected, smooth manifolds and let be an exact Lagrangian embedding. The induced map is known by earlier work to be a…
Multisections of higher-dimensional manifolds
Fathi Ben Aribi, Sylvain Courte, Marco Golla +1
Generalizing Heegaard splittings of 3-manifolds and trisections of 4-manifolds, we consider multisections of higher-dimensional smooth (or PL) closed orientable manifolds, namely d…
Twisted generating functions and the nearby Lagrangian conjecture
Mohammed Abouzaid, Sylvain Courte, Stéphane Guillermou +1
We prove that, for closed exact embedded Lagrangian submanifolds of cotangent bundles, the homomorphism of homotopy groups induced by the stable Lagrangian Gauss map vanishes. In p…
Contactomorphism groups and Legendrian flexibility
Sylvain Courte, Patrick Massot
We explain a connection between the algebraic and geometric properties of groups of contact transformations, open book decompositions, and flexible Legendrian embeddings. The main…
Lagrangian fillings and complicated Legendrian unknots
Sylvain Courte, Tobias Ekholm
An exact Lagrangian submanifold in the symplectization of standard contact -space with Legendrian boundary can be glued to itself along . This gives a Legendrian…
Legendrian submanifolds with hamiltonian isotopic symplectizations
Sylvain Courte
In any contact manifold of dimension , we construct examples of closed legendrian submanifolds which are not diffeomorphic but whose lagrangian cylinders in the symple…
Contact manifolds and Weinstein h-cobordisms
Sylvain Courte
We prove that closed connected contact manifolds of dimension related by an h-cobordism with a flexible Weinstein structure become contactomorphic after some kind of stabi…
Contact manifolds with symplectomorphic symplectizations
Sylvain Courte
We provide examples of contact manifolds of any odd dimension which are not diffeomorphic but have exact symplectomorphic symplectizations.