Fibers over vertices of the curve graph contain flats of arbitrary finite dimension, so they are not hyperbolic, and distance bounds are computed for single-isotopy-class fine curve graphs.
Masur and Yair N
3 Pith papers cite this work. Polarity classification is still indexing.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Outer automorphism groups of one-ended hyperbolic groups are virtually hierarchically hyperbolic under orientability conditions on JSJ decompositions, via bounded central extensions of orbifold mapping class groups, with a sharpness counterexample.
Constructs unbounded quasi-trees for Homeo_0(S_g) and uses them to prove positive stable commutator length for homeomorphisms preserving non-sporadic or once-bordered-torus subsurfaces, plus a finiteness-free projection complex.
citing papers explorer
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Large flats in large subgraphs of fine curve graphs
Fibers over vertices of the curve graph contain flats of arbitrary finite dimension, so they are not hyperbolic, and distance bounds are computed for single-isotopy-class fine curve graphs.
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Outer automorphism groups of hyperbolic groups, bounded extensions, and hierarchical hyperbolicity
Outer automorphism groups of one-ended hyperbolic groups are virtually hierarchically hyperbolic under orientability conditions on JSJ decompositions, via bounded central extensions of orbifold mapping class groups, with a sharpness counterexample.
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Fine projection complex and subsurface homeomorphisms with positive stable commutator length
Constructs unbounded quasi-trees for Homeo_0(S_g) and uses them to prove positive stable commutator length for homeomorphisms preserving non-sporadic or once-bordered-torus subsurfaces, plus a finiteness-free projection complex.