The notes will be updated regularly .
Contents
0. Front Matter and Table of Contents
1. Prerequisites
2. Fredholm Operators
3. Toeplitz Operators
4. Fourier Transform and Sobolev Spaces
5. Pseudodifferential Operators
6. Elliptic Complexes
7. Connections and Characteristic Classes
8. Basics of K-theory
9. Proof of the K-theoretic Index Theorem
10.The Cohomological Index Formula
References