View source for Todd class

{{TEX|done}}{{MSC|57R20}}

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 class]]es.

Introduced by J. Todd [[#References|[1]]].

====References====
<table>
<TR><TD valign="top">[1]</TD> <TD valign="top"> J. Todd, "The arithmetical theory of algebraic loci" ''Proc. London Math. Soc.'' , '''43''' (1937) pp. 190–225 {{ZBL|63.0624.03}}</TD></TR>
<TR><TD valign="top">[2]</TD> <TD valign="top"> F. Hirzebruch, "Topological methods in algebraic geometry" , Springer (1978) (Translated from German) {{MR|1335917}} {{MR|0202713}} {{ZBL|0376.14001}} </TD></TR>
</table>

====Comments====
Cf. [[Characteristic class|Characteristic class]] for the notion of a multiplicative sequence.