Pith. sign in

REVIEW 2 cited by

Automorphisms of smooth fine curve graphs

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

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

Katherine Williams Booth This is my paper · ORCID
classification math.GT
keywords automorphismscurvefinegraphsclosedconsidercontinuouslycurves
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Hyperbolicity, topology, and combinatorics of fine curve graphs and variants

    math.GT 2025-01 conditional novelty 7.0 of 10

    The fine k-curve graph is hyperbolic; the finitary curve graph has diameter 2, a contractible flag complex, all countable graphs as induced subgraphs, and automorphism group equal to the homeomorphism group of the surface.

  2. Automorphisms of fine curve graphs of planar surfaces

    math.GT 2025-06 conditional novelty 6.0 of 10

    For a sphere with at least seven punctures, the automorphism group of the fine curve graph is naturally isomorphic to the homeomorphism group of the surface.

Pith tools