8 nov 2018 -- 15:30
Aula 5, DiMaI, Firenze
Abstract.
The \v{C}ech-de Rham cohomology theory, particularly its relative version, together with the integration theory has been extensively used in the localization problem of characteristic classes. Likewise we may develop a theory of \v{C}ech-Bott-Chern cohomology and in this context we naturally come up with the relative Bott-Chern cohomology. In this talk we present this cohomology theory and discuss the localization problem of Bott-Chern classes of Hermitian vector bundles with some examples. This is a joint work with M. Corr\ea.