Atiyah-Singer applications

Layer 0 — Mathematicsin the global-analysis subtree

Atiyah-Singer 1963 (Abel 2004): ind(D) = integral_M ch(sigma_D) td(TM); recovers Riemann-Roch / Hirzebruch / Gauss-Bonnet / spin-Dirac; foundation of geometric quantization.

Related concepts

Atiyah-Singer index theorem

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