Advancements in Functorial Homological Mirror Symmetry
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916948327006208 |
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| author | Pasquarella, Veronica |
| author_facet | Pasquarella, Veronica |
| contents | Mostly inspired by recent work by Katzarkov, Kontsevich, and Sheshmani, combined with previous work by Aganagic, Ooguri, Saulina and Vafa with regard to BPS black hole microstate counting in terms of topological field theory calculations, we will show how these tools can be applied to concrete setups arising from String Theory, and why the formalism of functorial Homological Mirror Symmetry needs to be further developed. A crucial ingredient will turn out being cobordism techniques for evaluating invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_06951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Advancements in Functorial Homological Mirror Symmetry Pasquarella, Veronica High Energy Physics - Theory Mathematical Physics Algebraic Geometry Symplectic Geometry Mostly inspired by recent work by Katzarkov, Kontsevich, and Sheshmani, combined with previous work by Aganagic, Ooguri, Saulina and Vafa with regard to BPS black hole microstate counting in terms of topological field theory calculations, we will show how these tools can be applied to concrete setups arising from String Theory, and why the formalism of functorial Homological Mirror Symmetry needs to be further developed. A crucial ingredient will turn out being cobordism techniques for evaluating invariants. |
| title | Advancements in Functorial Homological Mirror Symmetry |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2502.06951 |