Stable commutator length admits a uniform spectral gap of 1/36 relative to peripheral subgroups in all compact hyperbolic 2-orbifolds except the sphere with three cone points.
Spectral gap of scl in graphs of groups and 3 -manifolds
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Uniform spectral gap of scl in $2$-orbifolds
Stable commutator length admits a uniform spectral gap of 1/36 relative to peripheral subgroups in all compact hyperbolic 2-orbifolds except the sphere with three cone points.