On closed oriented even-dim Riemannian M: ∫_M Pf(Ω) = χ(M) · (2π)^n / n!. Chern's intrinsic proof 1944. Atiyah-Singer generalization.
On closed oriented even-dim Riemannian M: ∫_M Pf(Ω) = χ(M) · (2π)^n / n!. Chern's intrinsic proof 1944. Atiyah-Singer generalization.