A knot-theoretic tour of dimension four

Márton Beke; Kyle Hayden

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arXiv · 2501.03219

A knot-theoretic tour of dimension four

Márton Beke·Kyle Hayden

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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.

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Márton Beke, Kyle Hayden. 2025-01-06. A knot-theoretic tour of dimension four. https://arxiv.org/abs/2501.03219

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