More Versions of Real Link Floer Homology

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Abstract

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.

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BibTeX RIS

Yonghan Xiao. 2026-09-21. More Versions of Real Link Floer Homology. https://arxiv.org/abs/2609.24354

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