Computations of the slice genus and the unknotting number of links via machine learning 8TRCP1482Q
| URI | m2://res/8TRCP1482Q |
|---|---|
| Kind | preprint |
| Creators | Yutong Dai, Oliver Hayman, András Juhász, Ludovico Morellato |
| Date | 2026-10-07 |
| MSC | 57-XX |
| Subjects | arxiv math.GT, arxiv cs.LG, arxiv stat.ML |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-07 |
| Ids | arXiv 2610.10206, zbl_id 903202752 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Rasmussen's $s$-invariant lower bound | statement | theorem B.16 | arxiv |
| Ribbon surface and ribbon genus | definition | definition 2.7 | arxiv |
| Known slice-torus link invariants | example | example B.19 | arxiv |
| 4G543PCRCP | statement | proposition B.1 | arxiv |
| Slice-torus bound on the weak slice genus | statement | theorem B.20 | arxiv |
| Strong slice genus of pseudo-thin links | statement | theorem B.35 | arxiv |
| Murasugi--Tristram inequality | statement | theorem B.10 | arxiv |
| Bound on the unknotting number | statement | corollary B.26 | arxiv |
| Unknotting number of positive torus links | statement | theorem B.32 | arxiv |
| 7WCZBE1MSJ | statement | theorem B.24 | arxiv |
| Positive links and slice-torus invariants | statement | theorem B.29 | arxiv |
| Unknotting number | definition | definition 2.1 | arxiv |
| B54GMS2EDZ | statement | theorem B.13 | arxiv |
| Signature bound | statement | theorem B.9 | arxiv |
| Trivial upper bound | statement | proposition B.8 | arxiv |
| Strong slice genus bound | statement | corollary B.18 | arxiv |
| Slice--ribbon conjecture | conjecture | conjecture 2.8 | arxiv |
| E5XESK0BXA | statement | corollary B.23 | arxiv |
| Upper bound from Seifert surfaces | statement | theorem B.7 | arxiv |
| Cobordism bound | statement | theorem B.22 | arxiv |
| Band path | definition | definition 2.2 | arxiv |
| the proof | statement | proposition B.3 | arxiv |
| Slice surface and slice genus | definition | definition 2.4 | arxiv |
| JQF75KA37X | statement | proposition B.14 | arxiv |
| Lower bound on the weak slice genus | statement | corollary B.21 | arxiv |
| NPAHVFB5FV | statement | theorem B.34 | arxiv |
| Lower bound on the strong slice genus | statement | lemma B.5 | arxiv |
| R14777VHKV | statement | lemma B.17 | arxiv |
| Milnor conjecture | statement | theorem B.31 | arxiv |
| SN6ZA67CDZ | statement | theorem B.12 | arxiv |
| STPH06ETJM | statement | theorem B.15 | arxiv |
| Slice surface of genus one for the trefoil | example | example 2.5 | arxiv |
| Unknotting number of simply-linked links | statement | theorem B.30 | arxiv |
| VPYBM8YJ51 | statement | corollary B.28 | arxiv |
| Weak and strong slice genera | definition | definition 2.6 | arxiv |
| knots, } for links | statement | proposition B.33 | arxiv |
| Crossing changes and slice-torus link invariants | statement | proposition B.25 | arxiv |
| Z55ZXND09Q | statement | proposition B.6 | arxiv |
| ZE4FQ2JB1S | statement | theorem B.27 | arxiv |
Catalogue records
- arxiv: 2610.10206 (work)
- arxiv_text: 2610.10206 (work)
- zbmath_search: 903202752 (work)