Analytic approach to a generalization of Chern classes in supergeometry

Abstract

Some cohomology elements, called [Formula: see text]-classes, as a supergeneralization of universal Chern classes, are introduced for canonical super line bundles over [Formula: see text]-projective spaces, a novel supergeometric generalization of projective spaces. It is shown that these classes may be described by analytic representatives of elements of generalized de Rham cohomology.