Elliptic Operators and Compact Groups

Michael Francis Atiyah (auth.)9780387068558, 0387068554

Table of contents :
Lecture 1: Transversally elliptic operators….Pages 3-8
Lecture 2: The index of transversally elliptic operators….Pages 9-17
Lecture 3: The excision and multiplicative properties….Pages 18-26
Lecture 4: The naturality of the index and the localization theorem….Pages 27-35
Lecture 5: The index homomorphism for G = S 1 ….Pages 36-43
Lecture 6: The operators $$bar partial ^ pm $$ for G = S 1 ….Pages 44-54
Lecture 7: Toral actions with finite isotropy groups….Pages 55-64
Lecture 8: The index homomorphism for G = T n ….Pages 65-68
Lecture 9: The cohomology formula….Pages 69-80
Lecture 10: Applications….Pages 81-93