Atiyah-Singer Index Theorem

Theorem

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Proof

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Also see

• Gauss-Bonnet Theorem
• Chern-Gauss-Bonnet Theorem
• Riemann-Roch Theorem

Source of Name

This entry was named for Michael Francis Atiyah and Isadore Manuel Singer.

Historical Note

The was proved in $1963$ by Michael Francis Atiyah and Isadore Manuel Singer.

It is a generalization of the Riemann-Roch Theorem which applies to functions of several variables.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Riemann-Roch theorem
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Atiyah-Singer index theorem
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Riemann-Roch theorem