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arxiv: 2409.05647 · v2 · submitted 2024-09-09 · 🧮 math.GT

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A big mapping class acting parabolically on the nonseparating curve graph

Federica Fanoni , Sebastian Hensel
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classification 🧮 math.GT
keywords curvegraphactingassociatedclasscurvesexistfine
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We use fine curve graph tools to prove that there exist parabolic isometries of graphs of curves associated to surfaces of infinite type.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Fine projection complex and subsurface homeomorphisms with positive stable commutator length

    math.GT 2026-04 unverdicted novelty 7.0

    A finiteness-free projection complex yields unbounded quasi-trees for Homeo_0(S_g) with cobounded isometric actions, proving positive scl for subsurface-preserving homeomorphisms.