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The rational [bold]PL de Rham theory of Sullivan is developed and generalized, using methods of Quillen's "homotopical algebra." For a field k of characteristic 0, a pair of contravariant adjoint functors A : (Simplicial sets) [right arrow over left arrow] (Commutative DG k-alge…
Conjugation of the classical kernels of Bochner-Martinelli & Koppelman-Leray with the FBI transform is used to construct homotopy operators in the tangential Cauchy-Riemann complex. On a real hypersurface in complex space and the presence of supporting manifolds is exploited to …