Topics in low dimensional topology
Student No.:40
Time:Tue & Thu, 15:20-16:55
Instructor:Tian Yin  
Place:Conference Room 1, Jin Chun Yuan West Bldg.
Starting Date:2018-3-6
Ending Date:2018-6-14

This course is an introduction to quantum invariants in low-dimensional topology. Main topics are the Reshetikhin-Turaev constructions of Jones polynomials and 3-manifold invariants, the Turaev-Viro construction of 3-manifold invariants.


Prerequisite: Basics in representation theory.


Reshetikhin-Turaev: Ribbon graphs and their invariants derived from quantum groups, Invariants of 3-manifolds via link polynomials and quantum groups.
Turaev–Viro: State sum invariants of 3-manifolds and quantum 6j-symbols.