A Solution to the Periodic Square Peg Problem
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909273698598912 |
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| author | Hugelmeyer, Cole |
| author_facet | Hugelmeyer, Cole |
| contents | We resolve the periodic square peg problem using a simple Lagrangian Floer homology argument. Inscribed squares are interpreted as intersections between two non-displaceable Lagrangian sub-manifolds of a symplectic 4-torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_20412 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Solution to the Periodic Square Peg Problem Hugelmeyer, Cole Symplectic Geometry Metric Geometry 53D99, 51F99 We resolve the periodic square peg problem using a simple Lagrangian Floer homology argument. Inscribed squares are interpreted as intersections between two non-displaceable Lagrangian sub-manifolds of a symplectic 4-torus. |
| title | A Solution to the Periodic Square Peg Problem |
| topic | Symplectic Geometry Metric Geometry 53D99, 51F99 |
| url | https://arxiv.org/abs/2407.20412 |