English

Cabling in terms of immersed curves

Geometric Topology 2023-06-14 v1

Abstract

In joint work with J. Rasmussen, we gave an interpretation of Heegaard Floer homology for manifolds with torus boundary in terms of immersed curves in a punctured torus. In particular, knot Floer homology is captured by this invariant. Appealing to earlier work of the authors on bordered Floer homology, we give a formula for the behaviour of these immersed curves under cabling.

Keywords

Cite

@article{arxiv.1908.04397,
  title  = {Cabling in terms of immersed curves},
  author = {Jonathan Hanselman and Liam Watson},
  journal= {arXiv preprint arXiv:1908.04397},
  year   = {2023}
}

Comments

18 pages, mostly figures

R2 v1 2026-06-23T10:45:43.397Z