A deformation of Hodge theory on the cotangent bundle
This paper presents some results from the Hodge theory of finite dimension with the assumption that the considered complex Hermitian form is not necessarily positive. The author constructs the adjoint of the de Rham operator \(d^{T^*X}\) on the cotangent bundle \(T^*X\) of a manifold \(X\) with respect to a Hermitian form of non-trivial signature.
scientific article; zbMATH DE number 2075668