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Alexander–Beck modules detect the unknot

Volume 246 / 2019

Markus Szymik Fundamenta Mathematicae 246 (2019), 89-108 MSC: Primary 57M27; Secondary 20N02, 18C10. DOI: 10.4064/fm519-6-2018 Published online: 15 February 2019


We introduce the Alexander–Beck module of a knot as a canonical refinement of the classical Alexander module, and we prove that this new invariant is an unknot-detector.


  • Markus SzymikDepartment of Mathematical Sciences
    NTNU Norwegian University of Science and Technology
    7491 Trondheim, Norway

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