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Analytic approach to a generalization of Chern classes in supergeometry

M. Roshandelbana

Department of Mathematics, Institute for Advanced, Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran

E-mail Address: m.roshandel@iasbs.ac.ir

Corresponding author.

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and

S. Varsaie

Department of Mathematics, Institute for Advanced, Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran

E-mail Address: varsaie@iasbs.ac.ir

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https://doi.org/10.1142/S1793557122501819Cited by:0 (Source: Crossref)

Abstract

Some cohomology elements, called $ν$ -classes, as a supergeneralization of universal Chern classes, are introduced for canonical super line bundles over $ν$ -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.

Communicated by W. S. Cheung

Keywords:

AMSC: 58A50, 58C50

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