On Real-oriented Johnson–Wilson cohomology

Answering a question of W S Wilson, I introduce a $ℤ ∕ 2$ –equivariant Atiyah–Real analogue of Johnson–Wilson cohomology theory $B P 〈 n 〉$ , whose coefficient ring is the $\leq n$ –chromatic part of Landweber’s Real cobordism ring.

Keywords

Johnson–Wilson cohomology, Real-orientation, Landweber cobordism

Mathematical Subject Classification 2000

Primary: 55P42, 55P91

Secondary: 55T25

References

Forward citations

Publication

Received: 23 July 2002

Accepted: 3 October 2002

Published: 22 October 2002

Authors

Po Hu
Department of Mathematics Wayne State University 656 W. Kirby Detroit, MI 48202 USA

Volume 2, issue 2 (2002)

Po Hu