More Versions of Real Link Floer Homology

@misc{xiao2026more,
  title = {{More Versions of Real Link Floer Homology}},
  author = {Yonghan Xiao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.24354},
  eprint = {2609.24354},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24354},
}

TY  - UNPB
TI  - More Versions of Real Link Floer Homology
AU  - Yonghan Xiao
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.24354
UR  - https://arxiv.org/abs/2609.24354
AB  - In this paper, we further develop the real link Floer homology defined by the first author. We introduce a new base-pointing convention that leads to a different version of real link Floer homology and show that this new theory is related to the old one by an exact triangle. We also define a real link Floer theory for multi-based strongly invertible links, which is a strong real Heegaard invariant, and take a first step toward a real link Floer TQFT. A computer implementation for the new theory via grid diagrams was written by Zhenkun Li. We also include an appendix containing real grid homology of more than 50 small knots.
ER  -