Local system and smooth correspondence in de rham theory with twisted coefficients

Abstract

Let ℒ be a local system, i.e., a flat vector bundle, on a manifold M. We denote by (Ω •(M; ℒ) = Γ (M; ∧ •T∗M⊗ ℒ), d= dℒ) the de Rham complex with coefficients in ℒ. We recall some basic operations on the de Rham complex with twisted coefficients. © Springer Nature Singapore Pte Ltd 2020.