TL;DR
This survey article discusses difficult open problems in knot theory and summarizes current knowledge about knots and links, providing insights into their complexity and unresolved questions.
Contribution
It compiles and discusses major intractable problems in knot theory, offering a comprehensive overview of the field's challenges.
Findings
Identification of key open problems in knot theory
Summary of known results and partial solutions
Discussion of the complexity of knots and links
Abstract
The aim of this survey article is to highlight several notoriously intractable problems about knots and links, as well as to provide a brief discussion of what is known about them.
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