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Automorphisms of smooth fine curve graphs

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arxiv 2410.21463 v2 pith:RA5JYE2S submitted 2024-10-28 math.GT

Automorphisms of smooth fine curve graphs

Katherine Williams Booth This is my paper
classification math.GT
keywords automorphismscurvefinegraphsclosedconsidercontinuouslycurves
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In this paper, we consider the automorphisms of fine curve graphs restricted to continuously $k$-differentiable curves. We show that for closed surfaces with genus at least 2, they are induced by homeomorphisms of the surface.

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  1. Large flats in large subgraphs of fine curve graphs

    math.GT 2026-04 unverdicted novelty 7.0

    Fibers over vertices of the curve graph contain flats of arbitrary finite dimension, so they are not hyperbolic, and distance bounds are computed for single-isotopy-class fine curve graphs.