A simple construction of the Rumin algebra

The Rumin algebra of a contact manifold is a contact invariant $C_\infty $-algebra of differential forms which computes the de Rham cohomology algebra. We recover this fact by giving a simple and explicit construction of the Rumin algebra via Markl’s formulation of the Homotopy Transfer Theorem.

Bibliographic Details
Main Author: Case, Jeffrey S.
Format: Article
Language:English
Published: Académie des sciences 2023-10-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.510/