Algebraic and Geometric Topology 2 (2002), paper no. 38, pages 937-947.

On Real-oriented Johnson-Wilson cohomology

Po Hu

Abstract. Answering a question of W. S. Wilson, I introduce a Z/2-equivariant Atiyah-Real analogue of Johnson-Wilson cohomology theory BP, whose coefficient ring is the =< n-chromatic part of Landweber's Real cobordism ring.

Keywords. Johnson-Wilson cohomology, Real-orientation, Landweber cobordism

AMS subject classification. Primary: 55P42, 55P91. Secondary: 55T25.

DOI: 10.2140/agt.2002.2.937

E-print: arXiv:math.AT/0211158

Submitted: 23 July 2002. Accepted: 3 October 2002. Published: 22 October 2002.

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

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