Title: Introduction to topological quantum field theory.Description:The knot theory is an interesting and active research area in mathematics, which has a deep relation with the topological quantum field theories (TQFT). We will discuss topological quantum field theory from both physics and mathematical perspectives and specifically, introduce one of the most important kinds of TQFT, the Chern...
AbstractIn this talk we will review Witten’s work on understanding knot invariants based on Chern-Simons theory. We will first introduce the physics observables in Chern-Simons theory which correspond to knot invariants and talk about why they are topological invariants. After a short introduction about the quantization of Chern-Simons theory, we will review how to understand skein relations a...
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