Knot Floer homology of fibered positive links

@misc{cheng2026knot,
  title = {{Knot Floer homology of fibered positive links}},
  author = {Zhechi Cheng},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.16539},
  eprint = {2610.16539},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.16539},
}

TY  - UNPB
TI  - Knot Floer homology of fibered positive links
AU  - Zhechi Cheng
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2610.16539
UR  - https://arxiv.org/abs/2610.16539
AB  - We determine the Maslov-graded next-to-top term of knot Floer homology for fibered positive links. Its rank in Maslov grading (-1) is the number of nontrivial prime connected-sum factors plus the number of components minus one, and the remaining summand is supported in Maslov grading zero. For a knot, the dimension of this remaining summand is determined by its Alexander polynomial. The proof combines a preferred-crossing construction with reductions of generalized Seifert surfaces to planar pretzel surfaces and a graded skein induction. We also obtain bounds on the fixed points of monodromies for fibered positive knots.
ER  -