Todd class

A characteristic class of a complex bundle $\zeta$, equal to

$$\sum_{j=0}^\infty T_j(c_1,\dots,c_j),$$

where $\{T_j\}$ is the multiplicative sequence corresponding to the power series $t/(1-e^{-t})$ and $c_i$ are the Chern classes (cf. Chern class).

Introduced by J. Todd [1].

References

 [1] J. Todd, "The arithmetical theory of algebraic loci" Proc. London Math. Soc. , 43 (1937) pp. 190–225 [2] F. Hirzebruch, "Topological methods in algebraic geometry" , Springer (1978) (Translated from German) MR1335917 MR0202713 Zbl 0376.14001