A simple construction of the Rumin algebra

preprint2022arXivOpen access

Abstract

The Rumin algebra of a contact manifold is a contact invariant C∞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.

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