Milnor Invariants --From classical links to surface-links, and beyond--
Akira Yasuhara
TL;DR
This paper explains Milnor invariants, connecting classical link theory to surface-links and exploring their broader implications, based on the author's research and expository insights.
Contribution
It provides a comprehensive exposition of Milnor invariants, bridging classical and surface-link theories, with insights from the author's research.
Findings
Milnor invariants extend from classical links to surface-links.
The paper offers an expository perspective on the significance of Milnor invariants.
Connections between link invariants and higher-dimensional topology are discussed.
Abstract
This is an English translation of the expository article written by the author in Japanese for publication in {\em Sugaku}. The author will explain Milnor invariants from the viewpoint of his research.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory