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Thurston norm minimizing surfaces and skein trees for links in 𝑆³
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| Zeitschriftentitel: | Proceedings of the American Mathematical Society |
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| Personen und Körperschaften: | |
| In: | Proceedings of the American Mathematical Society, 106, 1989, 4, S. 1085-1090 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
American Mathematical Society (AMS)
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| Schlagwörter: |
| Zusammenfassung: | <p>This paper gives a method for constructing all links in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper S cubed"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>3</mml:mn> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{S^3}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, beginning with the unknot and adding at most one to the norm of the link at each stage. This has two corollaries. The first is that links with ’minimal’ skein trees are fibered. The second is a complete list of all links with skein trees of height two.</p> |
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| Umfang: | 1085-1090 |
| ISSN: |
0002-9939
1088-6826 |
| DOI: | 10.1090/s0002-9939-1989-0969321-3 |