SYMPLECTIC GEOMETRY
Eckhard Meinrenken
Lecture Notes, University of Toronto
These are lecture notes for two courses, taught at the University of Toronto in Spring
1998 and in Fall 2000. Our main sources have been the books Symplectic Techniques
by Guillem
MATH 3650, Symplectic Geometry
Kiumars Kaveh
November 6, 2013
Due: November 25, 2013
All manifolds, functions, forms and vector elds are assumed to be C ,
unless otherwise stated.
Problem 1: Let G be a Lie group acting smoothly on a manifold M . (a)
For L
MATH 3650, Symplectic Geometry
Kiumars Kaveh
October 10, 2013
Due: October 25, 2013
All manifolds, functions, forms and vector elds are assumed to be C ,
unless otherwise stated.
Problem 1: Let X be a vector eld over a manifold M . Let k (M ).
Dene the Li
MATH3650: Symplectic Geometry
Take-Home Final Exam
Kiumars Kaveh
Due: by Tuesday morning (December 10, 2013).
You only need to do 4 out of 5 problems, although you will receive extra
points for doing all of them.
Problem 1: Let H denote the subgroup of GL
MATH 3650, Symplectic Geometry
Kiumars Kaveh
October 25 , 2013
Due: November 8, 2013
All manifolds, functions, forms and vector elds are assumed to be C ,
unless otherwise stated.
Problem 1: (Gradient-Hamiltonian vector eld) Let M be a Khler mania
fold wi