K-theory of quasi-toric manifolds

2005/04/06 by Parameswaran Sankaran, P. Sankaran, Sankaran, P. +2
Mathematics · #14M25 #55N15 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #math.AG #math.AT #msc:14M25 #msc:55N15

paper · pdf · doi:10.48550/arxiv.math/0504107

12 pages

arxiv created 2005/04/06 · openalex publication_date 2005/04/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the K-ring of a quasi-toric manifold in terms of generators and relations. We apply our results to describe the K-ring of Bott-Samelson varieties.

Citations

• K-theorie equivariante des varietes de Bott-Samelson. Application a la structure multiplicative de la K-theorie equivariante des varietes de drapeaux
• Bott towers, complete integrability, and the extended character of representations
• Some examples in toric geometry

Related

• K-theory of torus manifolds
• K-theory of hyperKähler toric manifolds
• K theory of smooth complete toric varieties and related spaces
• Equivariant K-theory of quasitoric manifolds
• Borel-type presentation of the torus-equivariant quantum K-ring of flag manifolds of type C