Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908834768879616 |
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| author | Calaque, Damien Safronov, Pavel |
| author_facet | Calaque, Damien Safronov, Pavel |
| contents | This article generalizes the theory of shifted symplectic structures to the relative context and non-geometric stacks. We describe basic constructions that naturally appear in this theory: shifted cotangent bundles and the AKSZ procedure. Along the way, we also develop the theory of shifted symplectic groupoids presenting shifted symplectic structures on quotients and define a deformation to the normal cone for shifted Lagrangian morphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08622 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone Calaque, Damien Safronov, Pavel Algebraic Geometry Symplectic Geometry This article generalizes the theory of shifted symplectic structures to the relative context and non-geometric stacks. We describe basic constructions that naturally appear in this theory: shifted cotangent bundles and the AKSZ procedure. Along the way, we also develop the theory of shifted symplectic groupoids presenting shifted symplectic structures on quotients and define a deformation to the normal cone for shifted Lagrangian morphisms. |
| title | Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone |
| topic | Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2407.08622 |