Topics class offered in FALL 2021 by John Etnyre.
This course will cover classical and modern trends in the topology of 3-manifolds. We will cover constructions of 3-manifolds and classical decompositions of 3-manifolds into simple pieces. We will then consider more recent advances. Possible topics include (1) the effects of Dehn surgery on a 3-manifold, for example when are incompressible surfaces in a 3-manifold constructed or destroyed vis surgery, (2) homeomorphisms of 3-manifolds, and (3) properties of the fundamental group of 3-manifolds, such as left orderability.