A simple construction of the Rumin algebra

Abstract

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.

Keywords

• Rumin complex
• Rumin algebra
• contact invariant