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Results tagged with ca.classical-analysis-and-odes
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user 675
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
4
votes
Atiyah-Singer index theorem
Perhaps you will also like
"Heat kernels and Dirac operators" by Nicole Berline,Ezra Getzler,Michèle Vergne
(see the google books link here)
Perhaps not the "full" Atiyah-Singer index theorem, but t …
- 1,939
5
votes
Why is Riemann-Roch an Index Problem?
Riemann-Roch in the version I know it:
Let $(E,\bar{\partial})$ be a holomorphic bundle over a compact Riemann surface $M$. Then
$$\operatorname{index}(\bar{\partial}) = \deg E -(g-1)\operatorname{ …
- 1,939