The fourth Skein Module and the Montesinos-Nakanishi Conjecture for 3-algebraic links
نویسندگان
چکیده
منابع مشابه
The Fourth Skein Module and the Montesinos-nakanishi Conjecture for 3-algebraic Links
We study the concept of the fourth skein module of 3-manifolds, that is a skein module based on the skein relation b0L0 + b1L1 + b2L2 + b3L3 = 0 and a framing relation L = aL (a, b0, b3 invertible). We give necessary conditions for trivial links to be linearly independent in the module. We investigate the behavior of elements of the skein module under the n-move and compute the values for (2, n...
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Yasutaka Nakanishi asked in 1981 whether a 3–move is an unknotting operation. In Kirby’s problem list, this question is called The Montesinos–Nakanishi 3– move conjecture. We define the nth Burnside group of a link and use the 3rd Burnside group to answer Nakanishi’s question; ie, we show that some links cannot be reduced to trivial links by 3–moves. AMS Classification numbers Primary: 57M27 Se...
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ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2001
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216501001281