Chekanov-Eliashberg dg-algebras for singular Legendrians

Abstract

The Chekanov-Eliashberg dg-algebra is a holomorphic curve invariant associated to Legendrian submanifolds of a contact manifold. We extend the definition to Legendrian embeddings of skeleta of Weinstein manifolds. Via Legendrian surgery, the new definition gives direct proofs of wrapped Floer cohomology push-out diagrams. It also leads to a proof of a conjectured isomorphism between partially wrapped Floer cohomology and Chekanov-Eliashberg dg-algebras with coefficients in chains on the based loop space.

33 pages, 17 figures, version accepted for publication in J. Symplectic Geom

References in corpus (1)

• Fiber Floer cohomology and conormal stops

Cited by in corpus (4)

• Simplicial descent for Chekanov-Eliashberg dg-algebras
• Singular Legendrian unknot links and relative Ginzburg algebras
• Tangle contact homology
• Persistence of unknottedness of clean Lagrangian intersections