The goal of the is to illustrate how a beautiful l mathematics emerges (not without help of ideas from physics) from something really simple (CS functional).
All no mathematical ideas will be explained on the spot but knowledge of path integrals on *very basic level* could be useful.
Literature:
· Edward Witten Quantum field theory and the Jones polynomial
· Maxim Kontsevich Feynman diagrams and low-dimensional topology
· Scott Axelrod, I. M. Singer Chern-Simons Perturbation Theory and Chern--Simons Perturbation Theory II
· D Bar-Natan Perturbative Chern-Simons Theory
· Raoul Bott & Alberto S. Cattaneo Integra L Invarianst Of 3-Manifolds
· Gregory W. Moore Introduction To Chern-Simons Theories
· Daniel S. Freed Classical Chern-Simons theory, Part Iand Classical Chern-Simons theory, Part 2
The
lectures starting March 30 will be delivered using Zoom. The office hours will
be held via zoom or skype, by email appointment with individual students.
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Meeting ID: 868 486 9108
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Meeting ID: 868 486 9108
This
class has no final exam