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K-Theory of Toric HyperKähler Manifolds

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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.

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Acknowledgement

I wish to thank Prof. P. Sankaran for valuable discussions during the preparation of this manuscript. I am grateful to him for patiently reading the preliminary version and his suggestions for improving the presentation.

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  1. Department of Mathematics, I.I.T. Madras, Chennai, 600 036, India

    V. Uma

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  1. V. Uma
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Correspondence to V. Uma.

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Uma, V. K-Theory of Toric HyperKähler Manifolds. Indian J Pure Appl Math 51, 1–10 (2020). https://doi.org/10.1007/s13226-019-0377-9

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  • DOI: https://doi.org/10.1007/s13226-019-0377-9

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