Period sheaves via perverse pullbacks
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866917030457769984 |
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| author | Khan, Adeel A. Kinjo, Tasuki Park, Hyeonjun Safronov, Pavel |
| author_facet | Khan, Adeel A. Kinjo, Tasuki Park, Hyeonjun Safronov, Pavel |
| contents | We construct period sheaves for Hamiltonian spaces, as conjectured in the work of Ben-Zvi, Sakellaridis and Venkatesh, using the perverse pullback functors introduced in the authors' previous work. We prove a dimensional reduction isomorphism (generalizing the results of Davison and Kinjo in cohomological Donaldson--Thomas theory) which implies that perverse pullbacks refine the ordinary pullback functors in constructible sheaf theory, and relate perverse pullbacks to microstalk functors. These results imply that our period sheaves recover the known constructions in the cotangent and Whittaker cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18610 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Period sheaves via perverse pullbacks Khan, Adeel A. Kinjo, Tasuki Park, Hyeonjun Safronov, Pavel Algebraic Geometry Representation Theory We construct period sheaves for Hamiltonian spaces, as conjectured in the work of Ben-Zvi, Sakellaridis and Venkatesh, using the perverse pullback functors introduced in the authors' previous work. We prove a dimensional reduction isomorphism (generalizing the results of Davison and Kinjo in cohomological Donaldson--Thomas theory) which implies that perverse pullbacks refine the ordinary pullback functors in constructible sheaf theory, and relate perverse pullbacks to microstalk functors. These results imply that our period sheaves recover the known constructions in the cotangent and Whittaker cases. |
| title | Period sheaves via perverse pullbacks |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2510.18610 |