Involutions of alternating links
نویسندگان
چکیده
منابع مشابه
Jones Polynomials of Alternating Links
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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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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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2021
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/15405