We study Euler characteristics of moduli spaces of stable representations of m-Kronecker quivers for . In particular, we study an asymptotic log formula of Euler characteristics and a normalized asymptotic log formula of Euler characteristic, motivated by so-called Douglas conjecture.
Nous étudions la caractéristique dʼEuler des espaces de modules de représentations stables des m-carquois de Kronecker pour m grand. En particulier, nous étudions une formule log asymptotique pour la caractéristique dʼEuler et une formule asymptotique normalisée, motivées par la conjecture de Douglas.
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So Okada 1
@article{CRMATH_2012__350_5-6_273_0, author = {So Okada}, title = {On {Euler} characteristics for large {Kronecker} quivers}, journal = {Comptes Rendus. Math\'ematique}, pages = {273--276}, publisher = {Elsevier}, volume = {350}, number = {5-6}, year = {2012}, doi = {10.1016/j.crma.2012.02.008}, language = {en}, }
So Okada. On Euler characteristics for large Kronecker quivers. Comptes Rendus. Mathématique, Volume 350 (2012) no. 5-6, pp. 273-276. doi : 10.1016/j.crma.2012.02.008. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.02.008/
[1] Stability conditions on triangulated categories, Ann. of Math. (2), Volume 166 (2007) no. 2, pp. 317-345
[2] Supergravity flows and D-brane stability, J. High Energy Phys., Volume 0008 (2000), p. 50 (40 pp)
[3] Quantum quivers and Hall/hole halos, J. High Energy Phys., Volume 0210 (2002), p. 023 (42 pp)
[4] Quivers, curves, and the tropical vertex, Port. Math., Volume 67 (2010) no. 2, pp. 211-259
[5] Moduli of representations of finite-dimensional algebras, Quart. J. Math. Oxford Ser. (2), Volume 45 (1994) no. 180, pp. 515-530
[6] Stability structures, motivic Donaldson–Thomas invariants and cluster transformations | arXiv
[7] Wall-crossing from Boltzmann black hole halos | arXiv
[8] A fixed point formula for the index of multi-centered black holes | arXiv
[9] Four ways across the wall | arXiv
[10] The Harder–Narasimhan system in quantum groups and cohomology of quiver moduli, Invent. Math., Volume 152 (2003) no. 2, pp. 349-368
[11] Moduli of representations of quivers, Trends in Representation Theory of Algebras and Related Topics, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2008, pp. 589-637
[12] Poisson automorphisms and quiver moduli, J. Inst. Math. Jussieu, Volume 9 (2010) no. 3, pp. 653-667
[13] MPS degeneration formula for quiver moduli and refined GW/Kronecker correspondence | arXiv
[14] Equivalence of three wall crossing formulae | arXiv
[15] Universal covers and the GW/Kronecker correspondence, Commun. Number Theory Phys., Volume 5 (2011) no. 2, pp. 353-396
[16] Localization in quiver moduli spaces | arXiv
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