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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.08096 |
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| _version_ | 1866911285405286400 |
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| author | Aygun, Juliet Barkdoll, Janet Calderon, Aaron Lorman, Jenavie Sandstrom, Theodore |
| author_facet | Aygun, Juliet Barkdoll, Janet Calderon, Aaron Lorman, Jenavie Sandstrom, Theodore |
| contents | Any pair of intersecting cylinders on a translation surface is "coherent," in that the geometric and algebraic intersection numbers of their core curves are equal (up to sign). In this paper, we investigate when a pair of multicurves can be simultaneously realized as the core curves of cylinders on some translation surface. Our main tools are surface topology and the "flat grafting" deformation introduced by Ser-Wei Fu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08096 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Realizing pairs of multicurves as cylinders on translation surfaces Aygun, Juliet Barkdoll, Janet Calderon, Aaron Lorman, Jenavie Sandstrom, Theodore Geometric Topology Any pair of intersecting cylinders on a translation surface is "coherent," in that the geometric and algebraic intersection numbers of their core curves are equal (up to sign). In this paper, we investigate when a pair of multicurves can be simultaneously realized as the core curves of cylinders on some translation surface. Our main tools are surface topology and the "flat grafting" deformation introduced by Ser-Wei Fu. |
| title | Realizing pairs of multicurves as cylinders on translation surfaces |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2404.08096 |