Mathematics 797LD - ST-Low Dimensional Topology

The goal of this course is to study knots, surfaces, 3- and 4-dimensional spaces. Topics include: Morse theory, handlebodies and Kirby calculus, classification of surfaces, Heegaard splittings of 3-manifolds and Dehn surgeries, h-cobordism theory in higher dimensions, Wall and Freedman theorems, constructions of smooth, symplectic and complex manifolds, Gauge theory, exotic 4-manifolds.

Open to Graduate students only. Math 671 and 703 & 704