Orateur
Tobias Ekholm
Description
Let W be a Weinstein manifold then the product of W and the real line is naturally a contact manifold. We consider contact embeddings of a small neighborhood a W-slice in this manifold and construct the Chekanov-Eliashberg dg-algebra of such embeddings. When W is a cotangent neighborhood of a smooth Legendrian the definition agrees with the Chekanov-Eliashberg algebra of the smooth Legendrian with coefficients in chains in the based loop space. The construction gives gluing formulas for Fukaya categories.
