On the AJ conjecture for cables of twist knots
Anh T. Tran
Fundamenta Mathematicae, Tome 228 (2015), p. 291-307 / Harvested from The Polish Digital Mathematics Library
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We study the AJ conjecture that relates the A-polynomial and the colored Jones polynomial of a knot in S³. We confirm the AJ conjecture for (r,2)-cables of the m-twist knot, for all odd integers r satisfying ⎧ (r+8)(r−8m) > 0 if m > 0, ⎨ ⎩ r(r+8m−4) > 0 if m < 0.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:283278 
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     title = {On the AJ conjecture for cables of twist knots},
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     volume = {228},
     year = {2015},
     pages = {291-307},
     zbl = {1320.57026},
     language = {en},
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Anh T. Tran. On the AJ conjecture for cables of twist knots. Fundamenta Mathematicae, Tome 228 (2015) pp. 291-307. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm230-3-5/