Geodesic
Géométrie et Topologie
A simple construction of the Rumin algebra
Case, Jeffrey S.1
1 Department of Mathematics, Penn State University, University Park, PA 16802, USA
Comptes Rendus. Mathématique, Tome 361 (2023) no. G8, pp. 1375-1382

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The Rumin algebra of a contact manifold is a contact invariant C ∞ -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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DOI : 10.5802/crmath.510
Classification : 53D10, 58A10, 58J10
Keywords: Rumin complex, Rumin algebra, contact invariant

Case, Jeffrey S. 1

1 Department of Mathematics, Penn State University, University Park, PA 16802, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Case, Jeffrey S. A simple construction of the Rumin algebra. Comptes Rendus. Mathématique, Tome 361 (2023) no. G8, pp. 1375-1382. doi: 10.5802/crmath.510

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