On stable commutator length of non-filling curves in surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866912420986880000 |
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| author | Forester, Max Malestein, Justin |
| author_facet | Forester, Max Malestein, Justin |
| contents | We give a new proof of rationality of stable commutator length (scl) of certain elements in surface groups: those represented by curves that do not fill the surface. Such elements always admit extremal surfaces for scl. These results also hold more generally for non-filling 1-chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_14086 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On stable commutator length of non-filling curves in surfaces Forester, Max Malestein, Justin Geometric Topology Group Theory 57M07, 20F65, 20J05 We give a new proof of rationality of stable commutator length (scl) of certain elements in surface groups: those represented by curves that do not fill the surface. Such elements always admit extremal surfaces for scl. These results also hold more generally for non-filling 1-chains. |
| title | On stable commutator length of non-filling curves in surfaces |
| topic | Geometric Topology Group Theory 57M07, 20F65, 20J05 |
| url | https://arxiv.org/abs/2212.14086 |