Irreducibility of q–difference operators and the knot 74

Algebraic Geometric Topology

Koutschan, Christoph¹  Garoufalidis, Stavros² 

[1] Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenberger Straße 69, A-4040 Linz, AustriaJohann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenberger Straße 69, A-4040 Linz, AustriaJohann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenberger Straße 69, A-4040 Linz, Austria;School of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA 30332-0160, USASchool of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA 30332-0160, USASchool of Mathematics, Georgia Institute of Technology, 686 Cherry Street, Atlanta, GA 30332-0160, USA

关键词: $q$–holonomic module;    $q$–holonomic sequence;    creative telescoping;    irreducibility of $q$–difference operators;    factorization of $q$–difference operators;    qHyper;    Adams operations;    quantum topology;    knot theory;    colored Jones polynomial;    AJ conjecture;    double twist knot;    $7_4$;   

DOI  :  10.2140/agt.2013.13.3261

来源: Mathematical Sciences Publishers-MSP

【 授权许可】

Unknown