A satellite formula for real Seiberg-Witten Floer homotopy types
Geometric Topology
2025-04-07 v1
Abstract
We establish a satellite formula for the real Seiberg-Witten Floer homotopy types of knots with odd patterns. Using this, we derive several applications to knot concordance theory. The satellite formula follows from a version of the excision theorem for real Floer homotopy types. Additionally, we show that the concordance invariants arising from real Seiberg-Witten theory depend only on the knot's zero-framed surgery.
Keywords
Cite
@article{arxiv.2504.03270,
title = {A satellite formula for real Seiberg-Witten Floer homotopy types},
author = {Jin Miyazawa and JungHwan Park and Masaki Taniguchi},
journal= {arXiv preprint arXiv:2504.03270},
year = {2025}
}
Comments
33 pages, 3 figures