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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 |
|---|---|
| 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)
|
| Schlagwörter: |
| author_facet |
Thompson, Abigail Thompson, Abigail |
|---|---|
| author |
Thompson, Abigail |
| spellingShingle |
Thompson, Abigail Proceedings of the American Mathematical Society Thurston norm minimizing surfaces and skein trees for links in 𝑆³ Applied Mathematics General Mathematics |
| author_sort |
thompson, abigail |
| spelling |
Thompson, Abigail 0002-9939 1088-6826 American Mathematical Society (AMS) Applied Mathematics General Mathematics http://dx.doi.org/10.1090/s0002-9939-1989-0969321-3 <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> Thurston norm minimizing surfaces and skein trees for links in 𝑆³ Proceedings of the American Mathematical Society |
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10.1090/s0002-9939-1989-0969321-3 |
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Online Free |
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Mathematik |
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American Mathematical Society (AMS), 1989 |
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American Mathematical Society (AMS), 1989 |
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0002-9939 1088-6826 |
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American Mathematical Society (AMS) |
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Proceedings of the American Mathematical Society |
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49 |
| title |
Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_unstemmed |
Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_full |
Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_fullStr |
Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_full_unstemmed |
Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_short |
Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_sort |
thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| topic |
Applied Mathematics General Mathematics |
| url |
http://dx.doi.org/10.1090/s0002-9939-1989-0969321-3 |
| publishDate |
1989 |
| physical |
1085-1090 |
| description |
<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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| author | Thompson, Abigail |
| author_facet | Thompson, Abigail, Thompson, Abigail |
| author_sort | thompson, abigail |
| container_issue | 4 |
| container_start_page | 1085 |
| container_title | Proceedings of the American Mathematical Society |
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| description | <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> |
| doi_str_mv | 10.1090/s0002-9939-1989-0969321-3 |
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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTA5MC9zMDAwMi05OTM5LTE5ODktMDk2OTMyMS0z |
| imprint | American Mathematical Society (AMS), 1989 |
| imprint_str_mv | American Mathematical Society (AMS), 1989 |
| institution | DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Rs1, DE-Pl11, DE-105, DE-14 |
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| physical | 1085-1090 |
| publishDate | 1989 |
| publishDateSort | 1989 |
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| recordtype | ai |
| series | Proceedings of the American Mathematical Society |
| source_id | 49 |
| spelling | Thompson, Abigail 0002-9939 1088-6826 American Mathematical Society (AMS) Applied Mathematics General Mathematics http://dx.doi.org/10.1090/s0002-9939-1989-0969321-3 <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> Thurston norm minimizing surfaces and skein trees for links in 𝑆³ Proceedings of the American Mathematical Society |
| spellingShingle | Thompson, Abigail, Proceedings of the American Mathematical Society, Thurston norm minimizing surfaces and skein trees for links in 𝑆³, Applied Mathematics, General Mathematics |
| title | Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_full | Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_fullStr | Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_full_unstemmed | Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_short | Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_sort | thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| title_unstemmed | Thurston norm minimizing surfaces and skein trees for links in 𝑆³ |
| topic | Applied Mathematics, General Mathematics |
| url | http://dx.doi.org/10.1090/s0002-9939-1989-0969321-3 |