MATH 8750: Topology of Manifolds

Year offered
The main goal of the class is to give an introduction to geometric and quantum topology in low (2, 3, 4) dimensions. Specific topics that will be discussed include the (colored) Jones polynomial of knots, the Jones-Wenzl projectors, quantum invariants of 3- manifolds, Kirby calculus, applications to the chromatic polynomial of planar graphs.