Quivers and Poisson structures

We produce natural quadratic Poisson structures on moduli spaces of representations of quivers. In particular, we study a natural Poisson structure for the generalised Kronecker quiver with 3 arrows.

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Bibliographic Details
Published in:Manuscripta mathematica 2013-05, Vol.141 (1-2), p.29-49
Main Author: Bielawski, Roger
Format: Article
Language:English
Subjects:
Algebraic Geometry
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
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Description
Summary:We produce natural quadratic Poisson structures on moduli spaces of representations of quivers. In particular, we study a natural Poisson structure for the generalised Kronecker quiver with 3 arrows.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-012-0558-x