A big mapping class acting parabolically on the nonseparating curve graph
Federica Fanoni, Sebastian Hensel
TL;DR
This paper demonstrates the existence of parabolic isometries in graphs of curves related to infinite-type surfaces using advanced curve graph techniques.
Contribution
It introduces new methods to identify parabolic isometries in the context of infinite-type surface curve graphs.
Findings
Existence of parabolic isometries proven for graphs of curves on infinite-type surfaces.
Application of fine curve graph tools to infinite-type surface settings.
Abstract
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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