MTH 3824 - Readings in Geometry

Course Information

Course:	MTH 3824, Readings in Geometry
Instructor:	Alex Suciu
Time and Place:	Thursday 4:00 -- 5:00 PM, in 441 LA
Office Hours:	By appointment
Prerequisites:	MTH 3105, MTH 3107, MTH 3400, MTH3407, MTH 3481.

Course Description

We study Witten's deformation of the de Rham complex, Morse functions to the circle, and Novikov homology.
Reading list:

• Edward Witten, Supersymmetry and Morse theory J. Differential Geom. 17 (1982), 661--692.
• Sergey Novikov, Bloch homology, critical points of functions, and closed 1-forms Soviet Math. Dokl. 33 (1986), 551--555.
• Maxim Braverman and Michael Farber, Novikov type inequalities for differential forms with non-isolated zeros Math. Proc. Cambridge Phil. Soc. 122 (1997), 357--375.
• Michael Hutchings and Yi-Jen Lee, Circle-valued Morse theory, Reidemeister torsion, and Seiberg-Witten invariants of 3-manifolds preprint, 1996.

http://www.math.neu.edu/~suciu/mth3824/readgeom.w99.html
Created: Jan. 28, 1999. Last modified: March 3, 1999.