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On BV supermanifolds and the super Atiyah class

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Bibliographic Details
Main Author: Simone, Noja
Format: Book
Language:English
Published: Springer 2023
Subjects:
odd symplectic BV supermanifolds
Online Access:https://link.springer.com/article/10.1007/s40879-023-00603-6
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7659
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spelling oai:localhost:PNK-76592023-04-06T09:44:14Z On BV supermanifolds and the super Atiyah class Simone, Noja odd symplectic BV supermanifolds CC BY We study global and local geometry of forms on odd symplectic BV supermanifolds, constructed from the total space of the bundle of 1-forms on a base supermanifold. We show that globally 1-forms are an extension of vector bundles defined on the base supermanifold. In the holomorphic category, we prove that this extension is split if and only if the super Atiyah class of the base supermanifold vanishes. This is equivalent to the existence of a holomorphic superconnection: we show how this condition is related to the characteristic non-split geometry of complex supermanifolds. 2023-04-06T09:44:14Z 2023-04-06T09:44:14Z 2023 Book https://link.springer.com/article/10.1007/s40879-023-00603-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7659 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic odd symplectic BV supermanifolds
spellingShingle odd symplectic BV supermanifolds
Simone, Noja
On BV supermanifolds and the super Atiyah class
description CC BY
format Book
author Simone, Noja
author_facet Simone, Noja
author_sort Simone, Noja
title On BV supermanifolds and the super Atiyah class
title_short On BV supermanifolds and the super Atiyah class
title_full On BV supermanifolds and the super Atiyah class
title_fullStr On BV supermanifolds and the super Atiyah class
title_full_unstemmed On BV supermanifolds and the super Atiyah class
title_sort on bv supermanifolds and the super atiyah class
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s40879-023-00603-6
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7659
_version_ 1762456095968722944
score 8.891695

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