416 citations · 656 across the 17 of their papers we have counts for
19 papers
On torsion in (bi)linearized Legendrian contact homology in dimension 3
Frédéric Bourgeois, Salammbo Connolly
Linearized Legendrian contact homology (LCH) and bilinearized LCH are important homological invariants for Legendrian submanifolds in contact geometry. For legendrian knots in $\ma…
Contact homology of contact manifolds and its applications
Frédéric Bourgeois
This is a survey of contact homology and its applications to the study of contact manifolds. It is a small tribute to Yasha Eliashberg's huge generosity with his countless explanat…
Geography of bilinearized Legendrian contact homology
Frédéric Bourgeois, Damien Galant
We study the geography of bilinearized Legendrian contact homology for closed, connected Legendrian submanifolds with vanishing Maslov class in 1-jet spaces. We show that this inva…
Lagrangian Cobordisms via Generating Families: Constructions and Geography
Frederic Bourgeois, Joshua M. Sabloff, Lisa Traynor
Embedded Lagrangian cobordisms between Legendrian submanifolds are produced from isotopy, spinning, and handle attachment constructions that employ the technique of generating fami…
-equivariant symplectic homology and linearized contact homology
Frédéric Bourgeois, Alexandru Oancea
We present three equivalent definitions of -equivariant symplectic homology. We show that, using rational coefficients, the positive part of -equivariant symplectic homol…
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…