Thurston norm minimizing surfaces and skein trees for links in 𝑆³

Thompson, Abigail

doi:10.1090/S0002-9939-1989-0969321-3

Thurston norm minimizing surfaces and skein trees for links in $S^ 3$
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Proc. Amer. Math. Soc. 106 (1989), 1085-1090 Request permission

Abstract:

This paper gives a method for constructing all links in ${S^3}$, 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.

References

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