THE KO*-RINGS OF BTm, THE DAVIS-JANUSZKIEWICZ SPACES AND CERTAIN TORIC MANIFOLDS

Astey, L and Bahri, A and Bendersky, M and Cohen, F.R. and Davis, D.M. and Gitler, S and Mahowald, M and Ray, N and Wood, R (2010) THE KO*-RINGS OF BTm, THE DAVIS-JANUSZKIEWICZ SPACES AND CERTAIN TORIC MANIFOLDS. [MIMS Preprint]

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Abstract

This paper contains an explicit computation of the KO*-ring structure of an m-fold product of CP1, the Davis-Januszkiewicz spaces and of toric manifolds which have trivial Sq2-homology. A key ingredient is the stable splitting of the Davis-Januszkiewicz spaces given in [6].

Item Type: MIMS Preprint
Uncontrolled Keywords: Quasitoric manifolds, Davis-Januszkiewicz Space, KO-theory, K-theory, product of projective spaces, Stanley-Reisner ring, toric varieties, toric manifolds, classifying space of a torus
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 19 K-theory
MSC 2010, the AMS's Mathematics Subject Classification > 54 General topology
Depositing User: Ms Lucy van Russelt
Date Deposited: 22 Aug 2010
Last Modified: 08 Nov 2017 18:18
URI: http://eprints.maths.manchester.ac.uk/id/eprint/1510

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