Abstract:
The thesis titled \Functorial Knot Theory", expository in nature, aims to show some recent
connections between Knot theory and Category theory. In the rst part we discuss how
the language of categories and functors e ectively enhances the development of new knot
invariants such as Jones polynomial and Khovanov homology. The second part demonstrates
the surprising application of knot theory in proving some important coherence theorems in
category theory.