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| XXXIX Workshop on Geometric Methods in Physics | 19.06–25.06.2022 |
| XI School on Geometry and Physics | 27.06–1.07.2022 |
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Elizaveta VishnyakovaDonagi-Witten construction and a graded covering of a supermanifoldIn 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. |
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| University of Bialystok |
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