Spectral triples and the local index formula

Logarithmic operator traces, regular spectral triples, residue index cocycles, and hypoelliptic transverse geometry.

1. Singular values and the Dixmier trace
2. Spectral triples and dimension spectrum
3. The local index formula
4. Symbol calculus, transverse geometry and geometric index formulas (in preparation)

Exact prerequisite proof locations and source versions

Original text CC0 1.0 unless the lesson states other terms.