Note: Lecture on May 22 is cancelled.Course schedule:Lecture 1. Reidemeister moves, colouring invariants, linking numberLecture 2. The Kauffman bracket and the Jones polynomialLecture 3. Fundamental group. The knot groupLecture 4. The knot quandle. The complete knot invariantLecture 5. The braid group and the braid recognition algoritmLecture 6. Alexander's theorem and Markov's theoremLecture ...
Abstract: At the first discussion, we have introduced the general framework of TQFT. This time we will discuss the properties of Chern-Simons theory in detail, which is a very important kind of Schwarz TQFT that related to many branches of physics and mathematics, e.g. knot theory, string theory, conformal field theory, quantum gravity and so on. And we will continue to discuss the some basics ...