The Gauß-Bonnet theorem and the Riemann-Roch theorem for Riemann surfaces have both reaonably reasonably elementary proofs. Of course, they follow from the general Atiyah-Singer index theorem.
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The Gauß-Bonnet theorem and the Riemann-Roch theorem for Riemann surfaces have both reaonably elementary proofs. Of course, they follow from the general Atiyah-Singer index theorem. |
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