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On the AJ conjecture for cable knots

Volume 237 / 2017

Anh T. Tran Fundamenta Mathematicae 237 (2017), 261-279 MSC: Primary 57N10; Secondary 57M25. DOI: 10.4064/fm148-8-2016 Published online: 6 February 2017

Abstract

We study the AJ conjecture for $(r,2)$-cables of knots, where $r$ is an odd integer. Using skein theory, we show that the AJ conjecture holds true for most $(r,2)$-cables of some classes of two-bridge knots and pretzel knots.

Authors

  • Anh T. TranDepartment of Mathematical Sciences
    University of Texas at Dallas
    Richardson, TX 75080, U.S.A.
    e-mail

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