Quivers and Poisson structures

2011/08/16 by Roger Bielawski, Bielawski, Roger
Mathematics · #16G20 #17B63 #53D17 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG) #math.QA #math.SG #msc:16G20 #msc:17B63 #msc:53D17

paper · pdf · doi:10.48550/arxiv.1108.3222

19 pages

arxiv created 2011/08/16 · openalex publication_date 2011/08/16 · arxiv updated 2011/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• On the Associative Analog of Lie Bialgebras

Related

• Compatible Poisson structures on multiplicative quiver varieties
• Poisson automorphisms and quiver moduli
• Moduli of representations of quivers
• Quiver Generalization of a Conjecture of King, Tollu, and Toumazet
• Moduli of Representations I. Projections from Quivers