Introduces a geometrisation framework for topological groups via left uniform and coarse structures, characterizing metrisability for Polish groups and defining minimal/maximal metrics.
Large-scale geometry of homeomorphism groups
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative 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.
Left coarse structure on G/H is not always the quotient of that on G; counterexample in mapping class groups of Loch Ness monster surfaces, plus conditions involving bounded-set liftings, transversals, and metrisability.
citing papers explorer
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The geometrisation problem for topological groups
Introduces a geometrisation framework for topological groups via left uniform and coarse structures, characterizing metrisability for Polish groups and defining minimal/maximal metrics.
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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.
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Coarse Structures on Homogeneous Spaces
Left coarse structure on G/H is not always the quotient of that on G; counterexample in mapping class groups of Loch Ness monster surfaces, plus conditions involving bounded-set liftings, transversals, and metrisability.