Strongly quasipositive quasi-alternating links and Montesinos links
نویسندگان
چکیده
منابع مشابه
Positive links are strongly quasipositive
Let S(D) be the surface produced by applying Seifert’s algorithm to the oriented link diagram D. I prove that if D has no negative crossings then S(D) is a quasipositive Seifert surface, that is, S(D) embeds incompressibly on a fiber surface plumbed from positive Hopf annuli. This result, combined with the truth of the “local Thom Conjecture”, has various interesting consequences; for instance,...
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The modulus of quasipositivity q(K) of a knot K was introduced as a tool in the knot theory of complex plane curves, and can be applied to Legendrian knot theory in symplectic topology. It has also, however, a straightforward characterization in ordinary knot theory: q(K) is the supremum of the integers f such that the framed knot (K, f) embeds non-trivially on a fiber surface of a positive tor...
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We exhibit the first examples of links which are homologically thin but not quasi-alternating. To show that they are not quasi-alternating, we argue that none of their branched double-covers bounds a negative definite 4-manifold with non-torsion H1. Using this method, we also complete the determination of the quasi-alternating pretzel links.
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ژورنال
عنوان ژورنال: Periodica Mathematica Hungarica
سال: 2020
ISSN: 0031-5303,1588-2829
DOI: 10.1007/s10998-020-00347-w