The KO*-rings of BT^m, the Davis-Januszkiewicz Spaces and certain toric manifolds

2010/07/01 by L. Astey, Abbas Bahri, Astey, L. +22 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Geometric and Algebraic Topology #math.AG #math.AT #math.CO #math.KT #msc:14M25 #msc:55N15 #msc:55P42 #msc:55R20 #msc:55T15. #msc:57N65 #msc:5E45

paper · pdf · doi:10.48550/arxiv.1007.0069

34 pages

arxiv created 2010/07/01 · arxiv updated 2010/07/02

Abstract

This paper contains an explicit computation of the KO*-ring structure of an m-fold product of CP^∞, the Davis-Januszkiewicz spaces and toric manifolds which have trivial Sq²-homology.

Cited by

• Classification of spin^c manifolds with generalized positive scalar curvature

Related

• The KO-theory of Toric Manifolds
• K-theory of torus manifolds
• K-theory of hyperKähler toric manifolds
• K theory of smooth complete toric varieties and related spaces
• On the ku-homology of certain classifying spaces II