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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Localization in quiver moduli spaces
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by Thorsten Weist PDF
Represent. Theory 17 (2013), 382-425 Request permission


Torus fixed points of quiver moduli spaces are given by stable representations of the universal (abelian) covering quiver. As far as the Kronecker quiver is concerned they can be described by stable representations of certain bipartite quivers coming along with a stable colouring. By use of the glueing method it is possible to construct a huge class of such quivers implying a lower bound for the Euler characteristic. For certain roots it is even possible to construct all torus fixed points.
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Additional Information
  • Thorsten Weist
  • Affiliation: Fachbereich C - Mathematik, Bergische Universität Wuppertal, D - 42097 Wuppertal, Germany
  • Email:
  • Received by editor(s): April 18, 2012
  • Received by editor(s) in revised form: January 14, 2013
  • Published electronically: July 10, 2013
  • © Copyright 2013 American Mathematical Society
  • Journal: Represent. Theory 17 (2013), 382-425
  • MSC (2010): Primary 14D20, 16G20
  • DOI:
  • MathSciNet review: 3073549