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The Hyperholomorphic Line Bundle

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Algebraic and Complex Geometry

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 71))

Abstract

We study the hyperholomorphic line bundle on a hyperkähler manifold with circle action introduced by A. Haydys, and in particular show how it transforms under a hyperkähler quotient. Applications include ALE spaces and coadjoint orbits.

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Author information

Authors and Affiliations

  1. Mathematical Institute, University of Oxford, Woodstock Road, Oxford, OX2 6GG, UK

    Nigel Hitchin

Authors
  1. Nigel Hitchin
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Corresponding author

Correspondence to Nigel Hitchin .

Editor information

Editors and Affiliations

  1. Leibniz Universität Hannover, Hannover, Germany

    Anne Frühbis-Krüger

  2. Humboldt-University Berlin, Berlin, Germany

    Remke Nanne Kloosterman

  3. Leibniz Universität Hannover, Hannover, Germany

    Matthias Schütt

Additional information

Dedicated to Klaus Hulek on the occasion of his 60th birthday

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Hitchin, N. (2014). The Hyperholomorphic Line Bundle. In: Frühbis-Krüger, A., Kloosterman, R., Schütt, M. (eds) Algebraic and Complex Geometry. Springer Proceedings in Mathematics & Statistics, vol 71. Springer, Cham. https://doi.org/10.1007/978-3-319-05404-9_8

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