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Representation Theory

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Localization in quiver moduli spaces

Author: Thorsten Weist
Journal: Represent. Theory 17 (2013), 382-425
MSC (2010): Primary 14D20, 16G20
Published electronically: July 10, 2013
MathSciNet review: 3073549
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Abstract: 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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Thorsten Weist
Affiliation: Fachbereich C - Mathematik, Bergische Universität Wuppertal, D - 42097 Wuppertal, Germany

Received by editor(s): April 18, 2012
Received by editor(s) in revised form: January 14, 2013
Published electronically: July 10, 2013
Article copyright: © Copyright 2013 American Mathematical Society