Ugo Bruzzo, Daniel Hernández Ruipérez
Abstract
A theory of characteristic classes for complex super vector bundles over supermanifolds is developed. Such characteristic classes are proved to fulfill the usual properties, and it is shown that, under suitable conditions, they can be represented in terms of supersmooth curvature forms.
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A theory of characteristic classes for complex super vector bundles over supermanifolds is developed. Such characteristic classes are proved to fulfill the usual properties, and it is shown that, under suitable conditions, they can be represented in terms of supersmooth curvature forms.
Key concepts: Vector bundle, Supermanifold, Splitting principle, Characteristic class, Mathematics, Curvature, Pure mathematics, Mathematical analysis