A Murasugi decomposition for achiral alternating links
نویسندگان
چکیده
منابع مشابه
The Khovanov’s Invariants for Alternating Links
In this paper, we prove the first conjecture of Bar-Natan, Garo-ufalidis, and Khovanov's on the Khovanov's invariants for alternating knots. 1. The map Φ The first conjecture states that there is an almost pairing of the cohomology groups of degree difference (1,4), so it is natural to think of a map of degree (1,4) on the cohomology groups. On chain level, the map Φ is defined in the same fash...
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We prove the first conjecture of Bar-Natan, Garoufalidis, and Khovanov on the Khovanov invariant for alternating knots.
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We show that quasi-alternating links arise naturally when considering surgery on a strongly invertible L-space knot (that is, a knot that yields an L-space for some Dehn surgery). In particular, we show that for many known classes of L-space knots, every sufficiently large surgery may be realized as the two-fold branched cover of a quasi-alternating link. Consequently, there is considerable ove...
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Let Jk(*) = nrtr + • ■ • + asta, r > s, be the Jones polynomial of a knot if in S3. For an alternating knot, it is proved that r — s is bounded by the number of double points in any alternating projection of K. This upper bound is attained by many alternating knots, including 2-bridge knots, and therefore, for these knots, r — s gives the minimum number of double points among all alternating pr...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2005
ISSN: 0030-8730
DOI: 10.2140/pjm.2005.222.317