K-theory of hyperKähler toric manifolds

2018/08/09 by V. Uma, Uma, V.
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1808.03008

openalex publication_date 2018/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a toric hyperKähler manifold. The purpose of this note is to describe the topological K-ring K^*(X) of X. We give a presentation for the topological K-ring in terms of generators and relations similar to the known description of the cohomology ring of these manifolds.

Related

• K-theory of torus manifolds
• K-theory of quasi-toric manifolds
• Toric Hyperkahler Varieties
• The KO*-rings of BT^m, the Davis-Januszkiewicz Spaces and certain toric manifolds
• The Geometry of Toric Hyperkähler Varieties