The Kanenobu knots and Khovanov-Rozansky homology

HOMFLYPT polynomials. We show that these knots also have the same and HOMFLYPT homologies, thus giving the first example of an infinite family of knots indistinguishable by these invariants. This is a consequence of a structure theorem about the homologies of knots obtained by twisting up the ribbon...

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2014-04, Vol.142 (4), p.1447-1455
Main Author: LOBB, ANDREW
Format: Article
Language:English
Subjects:
Commutativity
Factorization
Integers
Mathematical theorems
Matrices
Polynomials
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Summary:HOMFLYPT polynomials. We show that these knots also have the same and HOMFLYPT homologies, thus giving the first example of an infinite family of knots indistinguishable by these invariants. This is a consequence of a structure theorem about the homologies of knots obtained by twisting up the ribbon of a ribbon knot with one ribbon.]]>
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2014-11863-6