A remark on Continuous K-theory and Fourier-Sato transform
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917116804857856 |
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| author | Zhang, Bingyu |
| author_facet | Zhang, Bingyu |
| contents | In this note, we prove a generalization of Efimov's computation for the universal localizing invariant of categories of sheaves with certain microsupport constraints. The proof is based on certain categorical equivalences given by the Fourier-Sato transform, which is different from the original proof. As an application, we compute the universal localizing invariant of the category of almost quasi-coherent sheaves on the Novikov toric scheme introduced by Vaintrob. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02329 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A remark on Continuous K-theory and Fourier-Sato transform Zhang, Bingyu Algebraic Topology K-Theory and Homology Symplectic Geometry In this note, we prove a generalization of Efimov's computation for the universal localizing invariant of categories of sheaves with certain microsupport constraints. The proof is based on certain categorical equivalences given by the Fourier-Sato transform, which is different from the original proof. As an application, we compute the universal localizing invariant of the category of almost quasi-coherent sheaves on the Novikov toric scheme introduced by Vaintrob. |
| title | A remark on Continuous K-theory and Fourier-Sato transform |
| topic | Algebraic Topology K-Theory and Homology Symplectic Geometry |
| url | https://arxiv.org/abs/2506.02329 |