Contents

Definition

A peridodic cohomology theory is an

even multiplicative cohomology theory $E$ with a Bott element $\beta \in E^2({*})$ which is invertible (under multiplication in the cohomology ring of the point) so that multiplication by it induces an isomorphism

$(-)\cdot \beta : E^*({*}) \simeq E^{*+2}({*}) \,.$

Compare with the notion of weakly periodic cohomology theory.

References

Lecture notes include

Revised on November 12, 2013 13:57:26 by Urs Schreiber (188.200.54.65)