5 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…
Normal invariant of nearby Lagrangians via twisted derivative
Mohammed Abouzaid, Daniel Ãlvarez-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…
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…
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…