# Todd class

From Encyclopedia of Mathematics

2010 Mathematics Subject Classification: *Primary:* 57R20 [MSN][ZBL]

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 sequence of Todd polynomials, defined by the multiplicative sequence corresponding to the power series $t/(1-e^{-t})$ and $c_i$ are the Chern classes.

Introduced by J. Todd [1].

#### References

[1] | J. Todd, "The arithmetical theory of algebraic loci" Proc. London Math. Soc. , 43 (1937) pp. 190–225 Zbl 63.0624.03 |

[2] | F. Hirzebruch, "Topological methods in algebraic geometry" , Springer (1978) (Translated from German) MR1335917 MR0202713 Zbl 0376.14001 |

#### Comments

Cf. Characteristic class for the notion of a multiplicative sequence.

**How to Cite This Entry:**

Todd class.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Todd_class&oldid=52868

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article