Distance functions on convex bodies and symplectic toric manifolds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866914252258803712 |
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| author | Fujita, Hajime Kitabeppu, Yu Mitsuishi, Ayato |
| author_facet | Fujita, Hajime Kitabeppu, Yu Mitsuishi, Ayato |
| contents | In this paper we discuss three distance functions on the set of convex bodies. In particular we study the convergence of Delzant polytopes, which are fundamental objects in symplectic toric geometry. By using these observations, we derive some convergence theorems for symplectic toric manifolds with respect to the Gromov-Hausdorff distance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_02293 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Distance functions on convex bodies and symplectic toric manifolds Fujita, Hajime Kitabeppu, Yu Mitsuishi, Ayato Metric Geometry Primary 53D20, Secondary 53C23, 52B12 In this paper we discuss three distance functions on the set of convex bodies. In particular we study the convergence of Delzant polytopes, which are fundamental objects in symplectic toric geometry. By using these observations, we derive some convergence theorems for symplectic toric manifolds with respect to the Gromov-Hausdorff distance. |
| title | Distance functions on convex bodies and symplectic toric manifolds |
| topic | Metric Geometry Primary 53D20, Secondary 53C23, 52B12 |
| url | https://arxiv.org/abs/2003.02293 |