Glasgow Mathematical Journal

Research Article

POINCARÉ DUALITY FOR K-THEORY OF EQUIVARIANT COMPLEX PROJECTIVE SPACES

J. P. C. GREENLEESa1 and G. R. WILLIAMSa2

a1 Department of Pure Mathematics, Hicks Building, Sheffield S3 7RH. UK e-mail: j.greenlees@sheffield.ac.uk

a2 Department of Pure Mathematics, The Open University, Walton Hall, Milton Keynes, MK7 6AA. UK e-mail: g.r.williams@open.ac.uk

Abstract

We make explicit Poincaré duality for the equivariant K-theory of equivariant complex projective spaces. The case of the trivial group provides a new approach to the K-theory orientation [3].

(Received February 07 2007)

(Revised July 12 2007)

(Accepted July 31 2007)

2000 Mathematics Subject Classification

  • 57R91;
  • 55N15;
  • 55N91