A cohomology attached to a function
Differential Geometry
2007-05-23 v1
Abstract
In this paper, we study a certain cohomology attached to a smooth function, which arose naturally in Poisson geometry. We explain how this cohomology depends on the function, and we prove that it satisfies both the excision and the Mayer-Vietoris axioms. For a regular function we show that the cohomology is related to the de Rham cohomology. Finally, we use it to give a new proof of a well-known result of A. Dimca in complex analytic geometry.
Keywords
Cite
@article{arxiv.math/0212045,
title = {A cohomology attached to a function},
author = {Philippe Monnier},
journal= {arXiv preprint arXiv:math/0212045},
year = {2007}
}
Comments
18 pages