Involutive bordered Floer homology
Geometric Topology
2025-08-18 v4
Abstract
We give a bordered extension of involutive HF-hat and use it to give an algorithm to compute involutive HF-hat for general 3-manifolds. We also explain how the mapping class group action on HF-hat can be computed using bordered Floer homology. As applications, we prove that involutive HF-hat satisfies a surgery exact triangle and compute HFI-hat of the branched double covers of all 10-crossing knots.
Keywords
Cite
@article{arxiv.1706.06557,
title = {Involutive bordered Floer homology},
author = {Kristen Hendricks and Robert Lipshitz},
journal= {arXiv preprint arXiv:1706.06557},
year = {2025}
}
Comments
28 pages, 4 figures. V2: minor corrections, corresponding to published version. V3: append minor correction. V4: further minor correction