Title: Generalized Quivers, Orthogonal and Symplectic Representations, and Hitchin-Kobayashi Correspondences
Abstract:We review the theory of quiver bundles over a Kahler 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 S...We review the theory of quiver bundles over a Kahler 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.Read More
Publication Year: 2015
Publication Date: 2015-08-03
Language: en
Type: preprint
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