THE KHOVANOV HOMOLOGY OF (p, -p, q) PRETZEL KNOTS
نویسندگان
چکیده
منابع مشابه
KHOVANOV HOMOLOGY AND RASMUSSEN’S s-INVARIANTS FOR PRETZEL KNOTS
We calculated the rational Khovanov homology of some class of pretzel knots, by using the spectral sequence constructed by P. Turner. Moreover, we determined the Rasmussen’s s-invariant of almost of pretzel knots with three pretzels.
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We give a recipe for constructing families of distinct knots that have identical Khovanov homology.
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We study Khovanov homology classes which have state cycle representatives, and examine how they interact with Jacobsson homomorphisms and Lee’s map Φ. As an application, we describe a general procedure, quasipositive modification, for constructing H-thick knots in rational Khovanov homology. Moreover, we show that specific families of such knots cannot be detected by Khovanov’s thickness criter...
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In [1] it was shown that the sum of the absolute value of the second and penultimate coefficient of the Jones polynomial of an alternating knot is equal to the twist number of the knot. Here we give a new proof of their result using a variant of Khovanov’s homology that was defined by O. Viro for the Kauffman bracket. The proof is by induction on the number of crossings using the long exact seq...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2012
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216511010103