Pith. sign in

REVIEW 1 cited by

Genus one critical catenoid

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 2409.12588 v1 pith:4U2DE7DM submitted 2024-09-19 math.DG

Giada Franz , Daniel Ketover , Mario B. Schulz This is my paper
classification math.DG
keywords boundarygenusballcatenoidcomponentsconstructcriticaldiscovery
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We use variational methods to construct a free boundary minimal surface in the three-dimensional unit ball with genus one, two boundary components and prismatic symmetry. Key ingredients are an extension of the equivariant min-max theory to include orientation-reversing isometries and the discovery of a nontrivial two-parameter sweepout.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

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

  1. A new family of minimal surfaces of even genus in the three-dimensional sphere

    math.DG 2025-07 conditional novelty 7.0 of 10

    For each n at least 2, an equivariant min-max procedure yields a new embedded minimal surface Gamma_n in S^3 with genus 2n or 2n-2, area just above the sphere's, full symmetry group G_n for n at least 4, and Morse ind...

Pith tools