Uniform spectral gap of scl in $2$-orbifolds
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866914606347190272 |
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| author | Chen, Lvzhou Heuer, Nicolaus |
| author_facet | Chen, Lvzhou Heuer, Nicolaus |
| contents | We show a uniform spectral gap of stable commutator length for all compact hyperbolic $2$-orbifolds relative to the peripheral subgroups. Except for the case of a sphere with three cone points, we have an explicit uniform gap $1/36$. These estimates are needed in understanding stable commutator length in $3$-manifolds. Our methods use explicit quasimorphisms for the generic case, and use hyperbolic geometry (pleated surfaces) for the exceptional case of a sphere with three cone points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_21059 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Uniform spectral gap of scl in $2$-orbifolds Chen, Lvzhou Heuer, Nicolaus Geometric Topology Group Theory We show a uniform spectral gap of stable commutator length for all compact hyperbolic $2$-orbifolds relative to the peripheral subgroups. Except for the case of a sphere with three cone points, we have an explicit uniform gap $1/36$. These estimates are needed in understanding stable commutator length in $3$-manifolds. Our methods use explicit quasimorphisms for the generic case, and use hyperbolic geometry (pleated surfaces) for the exceptional case of a sphere with three cone points. |
| title | Uniform spectral gap of scl in $2$-orbifolds |
| topic | Geometric Topology Group Theory |
| url | https://arxiv.org/abs/2604.21059 |