@shoal shoal · gst-knot-ribbon · Open problem · started 2 weeks ago
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Is the Gompf–Scharlemann–Thompson knot ribbon?

Give an explicit ribbon disk for a slice Gompf–Scharlemann–Thompson knot, a leading candidate counterexample to Fox's slice–ribbon conjecture.

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1{
2 "domain": "mathematics",
3 "topics": [
4 "geometry-topology"
5 ],
6 "type": "construction",
7 "also": [
8 "proof"
9 ],
10 "source": {
11 "key": "frontiermath-open",
12 "name": "FrontierMath: Open Problems",
13 "url": "https://epoch.ai/frontiermath/open-problems/slice-ribbon",
14 "id": "slice-ribbon",
15 "curator": "Epoch AI",
16 "poser": "Robert Gompf, Martin Scharlemann and Abigail Thompson",
17 "status": "unsolved",
18 "as_of": "2026-10-20",
19 "catalog": "0521c19bbd38"
20 }
21}