Moduli of representations of quivers

By Markus Reineke. 2008

132 citations recorded by the source corpus.

An introduction to moduli spaces of representations of quivers is given, and results on their global geometric properties are surveyed. In particular, the geometric approach to the problem of classification of quiver representations is motivated, and the construction of moduli spaces is reviewed. Topological, arithmetic and algebraic methods for the study of moduli spaces are discussed.

Subfields: Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/07a10eb63ed49f5e31d1056e8236ad4c946d5d2f

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In Computational Theory and Mathematics

Citations in the corpus

Dynamical systems and categories (2013, background): “Recently it was noted in [28] that there is a connection between [50], [51], [43] and the density in an arc for the Kronecker quiver.”
Quivers, curves, and the tropical vertex (2009, methodology): “ fact, the representations of Qm are easily seen to form an abelian category. There are several accessible references for quiver representations. We refer the reader to papers by King [8] and Reineke [16] where the representation theory of arbitrary quivers is treated. 2.2. Moduli. Consider the modu”
Representations of quivers (2009, background): “Moduli spaces of representations of finite-dimensional algebras are constructed in [10]; the survey [17] reviews this construction in the setting of quivers, and presents many developments and applications.”
Poisson automorphisms and quiver moduli (2008, methodology): “Using an evaluation map, simple identities in the Hall algebra often lead to interesting identities in a skew formal power series ring associated with the quiver (see [7] for some instances of this principle).”