A knot-theoretic tour of dimension four
Geometric Topology
2025-01-07 v1
Abstract
These notes follow a lecture series at the "Singularities and low dimensional topology" winter school at the R\'enyi Institute in January 2023, with a target audience of graduate students in singularity theory and low-dimensional topology. The lectures discuss the basics of four-dimensional manifold topology, connecting this rich subject to knot theory on one side and to contact, symplectic, and complex geometry (through Stein surfaces) on the other side of the spectrum.
Cite
@article{arxiv.2501.03219,
title = {A knot-theoretic tour of dimension four},
author = {Márton Beke and Kyle Hayden},
journal= {arXiv preprint arXiv:2501.03219},
year = {2025}
}
Comments
30 pages, 21 figures