The topology of 3-manifolds

Department: 
Math
Course Number: 
8803-ETN
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Not regularly scheduled

Topics class offered in FALL 2021 by John Etnyre. 

Prerequisites: 

MATH 6452, MATH 6441 (though students without these courses still might be able to take the course-- they should talk to Dr. Etnyre about it).

Topic Outline: 

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.