Year: 2025
Type: article
Abstract: We prove that the Chekanov-Eliashberg algebra of a horizontally displaceable n-dimensional Legendrian sphere in the contactization of a Liouville manifold is an .nC1/-Calabi-Yaudifferential graded algebra.In particular it means that there is a quasi-isomorphism of DG bimodules between the diagonal bimodule and the inverse dualizing bimodule associated to the Chekanov-Eliashberg algebra.On some cyclic version of these bimodules, computing the Hochschild homology and cohomology of the Chekanov-Eliashberg algebra, we construct A 1 -operations and show that the Calabi-Yau isomorphism extends to a family of maps satisfying the A 1 -functor equations.53D42, 57R58 1. Introduction 3627 2. Background on DG bimodules 3630 3. Moduli spaces 3632 4. The Chekanov-Eliashberg DGA 3635 5.The Rabinowitz DG bimodule 3636 6.The Calabi-Yau structure 3638 7. Products and higher-order structure maps 3652 8.
Source: Algebraic & Geometric Topology
Author: Noémie Legout
Institution: Chalmers University of Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4414962282