Real link Floer homology
Abstract
In this paper, we define real link Floer homology for strongly invertible and doubly periodic links in closed real -manifolds with connected fixed sets, which generalizes real Heegaard Floer homology and real sutured Heegaard Floer homology. We give a combinatorial description of the theory in via real grid diagrams and use it to investigate structural properties of the theory as well as properties of strongly invertible knots. A computer implementation was written by Zhenkun Li. An appendix including real grid homology for 50+ small knots is made jointly by Zhenkun Li and the author, from which we observe several interesting phenomenon.
Keywords
Cite
@article{arxiv.2604.21240,
title = {Real link Floer homology},
author = {Yonghan Xiao},
journal= {arXiv preprint arXiv:2604.21240},
year = {2026}
}
Comments
70 pages in total= main part of 55 pages, 27 figures plus appendix jointly made with Zhenkun Li of 13 pages. Comments are welcome!