Notes and exercises:

Office hours

Syllabus

Useful references

Spin geometry:

• Lawson and Michelsohn, Spin Geometry.
• Roe, Elliptic operators, topology, and asymptotic methods.
• Berline, Getzler, and Vergne, Heat kernels and Dirac operators.

Algebraic topology and characteristic classes:

• Bott and Tu, Differential forms in algebraic topology.
• Morita, Geometry of differential forms.

Lie theory:

• Ziller, Lie groups, representation theory and symmetric spaces.
• Sepanski, Compact Lie groups.

Hodge theory/Analysis on manifolds:

• Warner, Foundations of differentiable manifolds and Lie groups.
• Wells, Differential analysis on complex manifolds.