Lecture Notes

Below are lecture notes from several courses taught at the University of Toronto.

Differential geometry (S 2015) (118 pages). [See course homepage for updated versions.]

Symplectic geometry (98 pages)

Manifolds (73 pages)

Riemannian geometry (58 pages)

Group actions on manifolds (61 pages)

Lie groups and Clifford algebras (243 pages - December 2011).

Lie groups and Lie algebras (83 pages).

Slides

"Group-valued moment maps and Verlinde Formulas", `School on quantization' at Notre Dame , June 2011: 1 2 3

"Group-valued moment maps with applications to mathematics and physics", IGA workshop, Adelaide , September 2011: 1 2 3 4 5


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