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.
A big mapping class acting parabolically on the nonseparating curve graph
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We use fine curve graph tools to prove that there exist parabolic isometries of graphs of curves associated to surfaces of infinite type.
citation-role summary
background 1
citation-polarity summary
fields
math.GT 1years
2026 1verdicts
UNVERDICTED 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
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.