Realisierung formaler Gruppen durch Kohomologiefunktoren |
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Authors: | Urs Würgler |
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Affiliation: | (1) Math. Inst. der Univ., Sidlerstrasse 5, CH-3000 Bern |
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Abstract: | To any multiplicative cohomology theory h with the property that complex line bundles are h-oriented corresponds a formal group law F(X,Y) over the ring h(pt) which describes the Euler class of a tensor product of line bundles by means of the Euler classes of its factors. We consider this formal group as an invariant of h and give sufficient conditions under which a morphism between formal groups of cohomology theories h,k can be extended in one and only one way to a transformation of theories h k. Some typical applications will be discussed. |
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