English

$K$-theory of $\mbox{hyperK\"ahler}$ toric manifolds

Algebraic Topology 2018-08-10 v1

Abstract

Let XX be a toric \mboxhyperKa¨hler\mbox{hyperK\"ahler} manifold. The purpose of this note is to describe the topological KK-ring K(X)K^*(X) of XX. We give a presentation for the topological KK-ring in terms of generators and relations similar to the known description of the cohomology ring of these manifolds.

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Cite

@article{arxiv.1808.03008,
  title  = {$K$-theory of $\mbox{hyperK\"ahler}$ toric manifolds},
  author = {V. Uma},
  journal= {arXiv preprint arXiv:1808.03008},
  year   = {2018}
}

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9 pages