We study derivations on a smooth manifold, its twisted de Rham cohomology, generalized connections on vector bundles and their characteristic classes.
AbstractWe prove a vanishing theorem for the twisted de Rham cohomology of a compact manifold.
Abstract.Consider the complex of differential forms on an open affine subvariety U of AN with differential where d is the usual exterior derivative and ø is a fixed 1-form on U. For certain U and ø, we compute the cohomology of this complex.
Twisted de Rham Cohomology Groups of Logarithmic Forms