Recent results on quiver sheaves
type: Item
instance of: scholarly article
title: Recent results on quiver sheaves
zbMATH Open document ID: 1279.14055
author: Andreas Laudin
author: Alexander Schmitt
published in: Central European Journal of Mathematics
publication date: 2013-08-05T00:00:00Z
review text: The authors survey recent work on quiver sheaves, that is (twisted) representations of quivers in the category of coherent sheaves on a projective algebraic variety \(X\). Allowing the twisting means in particular that Higgs bundles are included as an example. A preliminary section on quiver representations, that is representations of quivers in the category of finite dimensional complex vector spaces, is followed by a section on quivers, sheaves and instantons. After that, the authors move on to quiver sheaves and, in particular, stability conditions for such sheaves. This includes an extended discussion for the quiver \(\bullet\longleftarrow\bullet\longrightarrow\bullet\), where the authors present some new results. The paper is completed with a short section on Higgs bundles, which have of course been extensively studied in recent years.
Mathematics Subject Classification ID: 14J60
Mathematics Subject Classification ID: 14D20
Mathematics Subject Classification ID: 14H60
Mathematics Subject Classification ID: 16G20
zbMATH DE Number: 6194492
zbMATH Keywords: quiver
zbMATH Keywords: moduli space
zbMATH Keywords: semistability
reviewed by: P. E. Newstead
MaRDI profile type: Publication
full work available at URL: s11533-012-0007-9
OpenAlex ID: W1976173409
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DOI: 10.2478/S11533-012-0007-9
description: scientific article