Abstract
This thesis is divided in two parts that treat different subjects. Knot theory and anyons. The aim is to
give an introduction to the two subjects and show how they are related.
The first part is a short introduction to knot theory. It starts with the definitions of a link and a knot
and moves from knot invariants to the Jones polynomial and the braid group.
The second part is about anyons. Anyons are particles in two dimensions with strange properties. If
you move two anyons around each other the type of the particle changes. The focus is on the theory
of anyonic systems.
In the end a connection between the two subjects is shown. It is shown how the Jones polynomial
that is used in knot theory can emerge from a model of anyons.