Journal article
Unknotting genus one knots
- Abstract:
- For any knot with genus one and unknotting number one, other than the figure-eight knot, we prove that there is exactly one way to unknot it by means of a crossing change. In the case of the figure-eight knot, we prove that there are precisely two unknotting crossing changes. The proof uses sutured manifold theory and an analysis of the arc complex of the once-punctured torus.
- Publication status:
- Published
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Bibliographic Details
- Journal:
- COMMENTARII MATHEMATICI HELVETICI
- Volume:
- 86
- Issue:
- 2
- Pages:
- 383-399
- Publication date:
- 2008-09-24
- DOI:
- EISSN:
-
1420-8946
- ISSN:
-
0010-2571
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:146742
- UUID:
-
uuid:1216cfd3-1e30-4544-bf68-24b357e21129
- Local pid:
- pubs:146742
- Source identifiers:
-
146742
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 2008
- Notes:
-
17 pages, 11 figures; v2 corrects an error in Section 4; v3 is the
final version. To appear in Commentarii Mathematici Helvetici
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