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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2406.17616 |
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| _version_ | 1866912928678019072 |
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| author | Zuliani, Vanja |
| author_facet | Zuliani, Vanja |
| contents | In a recent article Halpern-Leistner defines the notion of quasi--convergent path in the space of Bridgeland stability conditions. Such a path induces a semiorthogonal decomposition of the derived category. We investigate quasi-convergent paths in the stability manifold of projective spaces and answer positively to two questions posed by Halpern-Leistner. We construct quasi-convergent paths that start from the geometric region of the stability space and whose central charge is given by a fundamental solution of the quantum differential equation. We also construct quasi-convergent paths whose central charges are the quantum cohomology central charges defined by Iritani. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17616 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semiorthogonal decompositions of projective spaces from small quantum cohomology Zuliani, Vanja Algebraic Geometry 2010: 14F05 (Primary) 14N35 (Secondary) In a recent article Halpern-Leistner defines the notion of quasi--convergent path in the space of Bridgeland stability conditions. Such a path induces a semiorthogonal decomposition of the derived category. We investigate quasi-convergent paths in the stability manifold of projective spaces and answer positively to two questions posed by Halpern-Leistner. We construct quasi-convergent paths that start from the geometric region of the stability space and whose central charge is given by a fundamental solution of the quantum differential equation. We also construct quasi-convergent paths whose central charges are the quantum cohomology central charges defined by Iritani. |
| title | Semiorthogonal decompositions of projective spaces from small quantum cohomology |
| topic | Algebraic Geometry 2010: 14F05 (Primary) 14N35 (Secondary) |
| url | https://arxiv.org/abs/2406.17616 |