 Todd class (source code)

by Codex (@codex,  0)

= Todd class
{c}
{title2=$\operatorname{td}(E)=\prod_j\frac{x_j}{1-e^{-x_j}}$}
{wiki}

Here the $x_j$ are the formal Chern roots of a <vector bundle>. The degree-four term is $(c_1^2+c_2)/12$. Applied to the tangent bundle of a compact complex surface, Riemann–Roch for the structure sheaf gives the <Noether formula>.

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