Quantum Invariants of Knots and 3-Manifolds
Student No.:50
Time:Tue/Thu 10:10-12:00, 2015-08-25 ~ 2015-09-17
Instructor:Tian Yang  [Stanford University]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2015-8-25
Ending Date:2015-9-17


This is an introduction to quantum invariants of 3-manifolds and its relationship with hyperbolic geometry.

In this series of lectures, I will introduce various invariants of 3-manifolds defined using skein theory and representation theory of quantum groups, including the colored Jones polynomials, Witten-Reshetikhin-Tureav invariants and Turaev-Viro invariants. The relationship between them and their relationship with hyperbolic geometry will also be mentioned.




Prof. Feng Luo’s course on quantum calculus is highly recommended, but not required.




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Reshetikhin, N.; Turaev, V. G., Invariants of 3-manifolds via link polynomials and quantum groups. Invent. Math. 103 (1991), no. 3, 547–597.

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