2022/07/01 by Jeffrey S. Case, Case, Jeffrey S.
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications
paper · pdf · doi:10.48550/arxiv.2207.00647
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.