Chekanov-Eliashberg dg-algebras for singular Legendrians

Abstract: The Chekanov-Eliashberg dg-algebra is a holomorphic curve invariant associated to a Legendrian submanifold of a contact manifold. In this talk we explain how to extend the definition to singular Legendrian submanifolds admitting a Weinstein neighborhood. Via the Bourgeois-Ekholm-Eliashberg surgery formula, the new definition gives direct geometric proof of the pushout diagrams and stop removal formulas in partially wrapped Floer cohomology of Ganatra-Pardon-Shende. It furthermore leads to a proof of the conjectured surgery formula relating partially wrapped Floer cohomology to Chekanov--Eliashberg dg-algebras with coefficients in chains on the based loop space. This talk is based on joint work with Tobias Ekholm.

algebraic geometrydifferential geometrygeometric topologysymplectic geometry

Audience: researchers in the topic

Free Mathematics Seminar

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