Representation theory and ADHM-construction on quaternion symmetric spaces

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Abstract

We determine all irreducible homogeneous bundles with anti-selfdual canonical connections on compact quaternion symmetric spaces. To deform the canonical connections, we give a relation between the representation theory and the theory of monads on the twistor space. The moduli spaces are described via the Bott-Borel-Weil Thcreom. The Horrocks bundle is also generalized to higher-dimensional projcctive spaces.

Original languageEnglish
Pages (from-to)4333-4355
Number of pages23
JournalTransactions of the American Mathematical Society
Volume353
Issue number11
DOIs
Publication statusPublished - 1 Jan 2001

Keywords

  • ADHM-construction
  • Moduli
  • Monad
  • Quaternion symmetric space

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