Namespaces
Variants
Actions

Todd class

From Encyclopedia of Mathematics
Jump to: navigation, search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

2020 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