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arXiv · 1508.00460

Generalized Quivers, Orthogonal and Symplectic Representations, and Hitchin-Kobayashi Correspondences

Artue de Araujo
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Abstract

We review the theory of quiver bundles over a K\"ahler manifold, and then introduce the concept of generalized quiver bundles for an arbitrary reductive group G. We first study the case when G=O(V) or Sp(V), interpreting them as orthogonal (resp. symplectic) bundle representations of the symmetric quivers introduced by Derksen-Weyman. We also study supermixed quivers, which simultaneously involve both orthogonal and symplectic symmetries. Finally, we discuss Hitchin-Kobayashi correspondences for these objects.

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Artue de Araujo. 2015-08-03. Generalized Quivers, Orthogonal and Symplectic Representations, and Hitchin-Kobayashi Correspondences. https://arxiv.org/abs/1508.00460

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