Geodesic
On the Euler characteristic of Kronecker moduli spaces
Journal of Algebraic Combinatorics, Tome 38 (2013) no. 3, pp. 567-583.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Combining the MPS degeneration formula for the Poincaré polynomial of moduli spaces of stable quiver representations and localization theory, it turns that the determination of the Euler characteristic of these moduli spaces reduces to a combinatorial problem of counting certain trees. We use this fact in order to obtain an upper bound for the Euler characteristic in the case of the Kronecker quiver. We also derive a formula for the Euler characteristic of some of the moduli spaces appearing in the MPS degeneration formula.
Keywords: quiver moduli, localization, Euler characteristic, exponential growth 
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     author = {Weist, Thorsten},
     title = {On the {Euler} characteristic of {Kronecker} moduli spaces},
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Weist, Thorsten. On the Euler characteristic of Kronecker moduli spaces. Journal of Algebraic Combinatorics, Tome 38 (2013) no. 3, pp. 567-583. http://geodesic.mathdoc.fr/item/JAC_2013__38_3_a7/