A dense subset of the Gromov boundary of the grand arc graph is identified with geodesic laminations; the graph satisfies the bounded geodesic image theorem and its boundary is non-compact.
The geometry of the disk complex
2 Pith papers cite this work. Polarity classification is still indexing.
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math.GT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
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Gromov boundary of the Grand Arc graph
A dense subset of the Gromov boundary of the grand arc graph is identified with geodesic laminations; the graph satisfies the bounded geodesic image theorem and its boundary is non-compact.
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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.