Difference between revisions of "Todd class"
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| − | A [[Characteristic class|characteristic class]] of a complex bundle | + | {{TEX|done}} |
| + | A [[Characteristic class|characteristic class]] of a complex bundle $\zeta$, equal to | ||
| − | + | $$\sum_{j=0}^\infty T_j(c_1,\dots,c_j),$$ | |
| − | where | + | 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|Chern class]]). |
Introduced by J. Todd [[#References|[1]]]. | Introduced by J. Todd [[#References|[1]]]. | ||
Revision as of 18:24, 22 September 2014
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 |
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=23996
Todd class. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Todd_class&oldid=23996
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article