Lecture Notes

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

Lie groupoids and Lie algebroids (F 2017) (98 pages. More recent version available by request).

Poisson Geometry (S 2017) (76 pages).

Symplectic geometry (98 pages)

Manifolds (73 pages)

Riemannian geometry (58 pages)

Group actions on manifolds (61 pages)

Lie groups and Lie algebras (S 2024) (110 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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