Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910657421508608 |
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| author | Forni, Giovanni Goldman, William Lawton, Sean Matheus, Carlos |
| author_facet | Forni, Giovanni Goldman, William Lawton, Sean Matheus, Carlos |
| contents | Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic element is not ergodic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_14183 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus Forni, Giovanni Goldman, William Lawton, Sean Matheus, Carlos Dynamical Systems Algebraic Geometry Symplectic Geometry 14M35, 22D40, 70H08 (Primary), 53D30, 37A25 (Secondary) Utilizing KAM theory, we show that there are certain levels in relative SU(2) and SU(3) character varieties of the once-punctured torus where the action of a single hyperbolic element is not ergodic. |
| title | Non-ergodicity on SU(2) and SU(3) character varieties of the once-punctured torus |
| topic | Dynamical Systems Algebraic Geometry Symplectic Geometry 14M35, 22D40, 70H08 (Primary), 53D30, 37A25 (Secondary) |
| url | https://arxiv.org/abs/2206.14183 |