On BV supermanifolds and the super Atiyah class
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s40879-023-00603-6 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7659 |
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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 |
8.89252 |