18.966 | Spring 2007 | Graduate

Geometry of Manifolds

Lecture Notes

lect06.pdf

Description:

Lecture notes on tangent space to the group of symplectomorphisms; fixed points of symplectomorphisms; Arnold’s conjecture; Morse theory: Gradient trajectories, Morse complex, homology; action functional on the loop space, and the basic idea of Floer homology.

Resource Type:
Lecture Notes

Course Info

Instructor
Departments
As Taught In
Spring 2007
Level
Learning Resource Types
Problem Sets with Solutions
Lecture Notes