XXXIX Workshop on Geometric Methods in Physics 19.06–25.06.2022
XI School on Geometry and Physics 27.06–1.07.2022
In order to secure the right conditions for our Workshop we have decided to exceptionally move (only for this year's meeting) the site of our Workshop to the campus of our University in Białystok.

Elizaveta Vishnyakova

Donagi-Witten construction and a graded covering of a supermanifold

In the paper "Super Atiyah classes and obstructions to splitting of supermoduli space", Donagi and Witten suggested a construction of a first obstruction class for splitting of a supermanifold via differential operators. We generalize this idea. As a result we obtain a family of embeddings of the category of supermanifolds into the category of iterated vector bundles and into the category of graded manifolds. It was shown that the images of a supermanifold in these categories satisfy universal properties of a graded covering or a graded semicovering. In our talk we will discuss these functors in the case of a Lie supergroup and a Lie superalgebra.

Event sponsored by:
of Bialystok
University of Bialystok

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