SYLLABUS
Contact geometry is a topic at the intersection of many fields, closely related to classical dynamics, complex analysis, and geometric topology. It is best thought of as the odd-dimensional cousin to symplectic geometry. The beginning of the class will cover the basic theory, and afterwards we will specialize to the 3-dimensional case, where a number of additional tools strengthen our knowledge of that dimension (particularly Giroux flexibility).
The class has no symplectic or contact prerequisites. A good background in differential topology is assumed, i.e. 18.965. Also knowledge of differential forms is helpful, i.e. 18.952, but this can be picked up along the way. The class will roughly six homework assignments over the semester.
