Record: YesLevel: GraduateLanguage: EnglishPrerequisiteBasic mathematics (calculus, algebra, etc.); a textbook knowledge of General Relativity and Quantum Field Theory (including the very basics facts about supersymmetry); the elementary notions of differential geometry (Riemannian geometry, bundles, connections, etc.), Lie groups, and algebraic topology (homology & cohomology groups,etc.).Abst...
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 7...