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YouTube

Knots and Surfaces I - Algebraic Topology - NJ Wildberger

Insights into Mathematics via YouTube

Overview

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Explore the fascinating world of knot theory in this introductory lecture on Algebraic Topology. Delve into the origins of the subject, examine simple knots, and learn about Reidemeister moves. Discover basic invariants such as minimal crossing number and linking number for links, and gain insights into the Alexander-Conway polynomial. Part of a beginner's course on Algebraic Topology taught by Professor N J Wildberger at UNSW, this 52-minute video covers the history, elementary isotopy, knot classification, and various invariants, providing a solid foundation for further study in this intriguing mathematical field.

Syllabus

Introduction
History
Elementary Isotropy
Knot Classification
Invariants
Linking number
Alexander Conway polynomial
Example

Taught by

Insights into Mathematics

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