Mathematics 797LD - ST-Low Dimensional Topology

Spring
2022
01
3.00
Refik Baykur

TU TH 2:30PM 3:45PM

UMass Amherst
38053
Lederle Grad Res Tower rm 1334
baykur@math.umass.edu
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.

MATH 671 and 672 Prerequisites:
Point-set Topology and Algebraic Topology (Math 671-672), Differentiable
Manifolds (Math 703) or the consent of the instructor
Textbooks:
Matsumoto, "An introduction to Morse theory"
Gompf and Stipsicz, "4-manifolds and Kirby calculus"

Permission is required for interchange registration during the add/drop period only.
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