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Introduction to Knot Theory
Last Updated: 2026-02-05 15:29:11
Abstract
The aim of this class is to introduce classical tools in the study of knots and links: the group of a knot, Seifert surfaces, the Alexander module, the Alexander-Conway polynomial, the Levine-Tristram signature,... These objects are defined using methods of algebraic topology; therefore, we will assume a basic knowledge of algebraic topology.
Content
The aim of this class is to introduce classical tools in the study of knots and links: the group of a knot, Seifert surfaces, the Alexander module, the Alexander-Conway polynomial, the Levine-Tristram signature,... These objects are defined using methods of algebraic topology; therefore, we will assume a basic knowledge of algebraic topology (fundamental group, covering spaces, homology) and of algebra (groups, rings, modules over a commutative ring).
General Information
- Language
- English
- Levels
- BSC , MSC
Examination
- Type
- session examination
- Mode
- oral 20 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture with exercise | Introduction to Knot Theory |
|
4 h weekly |