Incomplete course draft. Some advanced results remain conditional. Read the exact proved scope and remaining work.
Foliations and their operator algebras
Transverse measures and currents, holonomy C*-algebras, Hilbert modules, measured Euler and index formulas, and the K-theory of a leaf space.
Five lessons in English, with examples, exercises, solutions and reproducible diagrams. Read the lessons in this order:
- Transverse measures of foliations · Markdown
- The C*-algebra of a foliation · Markdown
- Hilbert modules and fields on the leaf space · Markdown
- The index theorem for measured foliations · Markdown
- K-theory of the leaf space · Markdown
Status and remaining work · Sources, figures and component terms · Supporting proof sources · Download reader and editable sources