Skein relations for tangle Floer homology

  • Ina Petkova

    Dartmouth College, Hanover, USA
  • C.-M. Michael Wong

    Louisiana State University, Baton Rouge, USA
Skein relations for tangle Floer homology cover
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Abstract

In a previous paper, Vértesi and the first author used grid-like Heegaard diagrams to define tangle Floer homology, which associates to a tangle a differential graded bimodule . If is obtained by gluing together , then the knot Floer homology of can be recovered from . In the present paper, we prove combinatorially that tangle Floer homology satisfies unoriented and oriented skein relations, which are analogues of the skein exact triangles for knot Floer homology.

Cite this article

Ina Petkova, C.-M. Michael Wong, Skein relations for tangle Floer homology. Quantum Topol. 11 (2020), no. 1, pp. 119–225

DOI 10.4171/QT/134