Chekanov-Eliashberg dg-algebras for singular Legendrians
arXiv:2102.04858 · doi:10.4310/JSG.2022.v20.n3.a1
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.
arXiv comment33 pages, 17 figures, version accepted for publication in J. Symplectic Geom
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