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Elliptic Operators and Compact Groups

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Author(s): Michael Francis Atiyah (auth.)
Series: Lecture Notes in Mathematics 401
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1974

Language: English
Pages: 100
City: Berlin; New York
Tags: Mathematics, general

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