Cabling formula and colored knot Floer homology

@misc{zhang2026cabling,
  title = {{Cabling formula and colored knot Floer homology}},
  author = {Chen Zhang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09201},
  eprint = {2610.09201},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.09201},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - Cabling formula and colored knot Floer homology
AU  - Chen Zhang
PY  - 2026
DA  - 2026/10/06
PB  - arXiv
DO  - 10.48550/arxiv.2610.09201
UR  - https://arxiv.org/abs/2610.09201
AB  - We study colored knot Floer homology via a bordered cabling construction. We construct a cabling module and identify the connecting maps in the defining direct system at the level of this module. By taking the colimit at the chain level, we obtain a general formula for colored knot Floer homology of an arbitrary knot in terms of its ordinary knot Floer homology and the colored unknot algebra. This extends the computation of Alishahi-Gorsky-Liu from L-space knots to all knots.
ER  -