Knots of low knot Floer width

  • David Popović

    University of California, Los Angeles, USA
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Abstract

This paper classifies the chain homotopy equivalence types of knot Floer complexes of knot Floer width . They have no nontrivial local systems. As an application, this shows that all Montesinos knots admit a basis that can be simultaneously horizontally and vertically simplified.

Cite this article

David Popović, Knots of low knot Floer width. Rev. Mat. Iberoam. 41 (2025), no. 6, pp. 2119–2144

DOI 10.4171/RMI/1577