The AJ-Conjecture and cabled knots over torus knots
نویسندگان
چکیده
منابع مشابه
On iterated torus knots and transversal knots
A knot type is exchange reducible if an arbitrary closed n{braid representative K of K can be changed to a closed braid of minimum braid index nmin(K) by a nite sequence of braid isotopies, exchange moves and {destabilizations. (See Figure 1). In the manuscript [6] a transversal knot in the standard contact structure for S3 is de ned to be transversally simple if it is characterized up to trans...
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The AJ conjecture relates the A-polynomial and the colored Jones polynomial of a knot in the 3-sphere. It has been verified for some classes of knots, including all torus knots, most double twist knots, (−2, 3, 6n ± 1)-pretzel knots, and most cabled knots over torus knots. In this paper we study the AJ conjecture for (r, 2)-cables of a knot, where r is an odd integer. In particular, we show tha...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2015
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216515500510