{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T09:04:40Z","timestamp":1760346280478},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2012,8,1]],"date-time":"2012-08-01T00:00:00Z","timestamp":1343779200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Ann. Henri Poincar\u00e9"],"published-print":{"date-parts":[[2013,5]]},"DOI":"10.1007\/s00023-012-0195-7","type":"journal-article","created":{"date-parts":[[2012,7,30]],"date-time":"2012-07-30T22:15:32Z","timestamp":1343686532000},"page":"1001-1041","source":"Crossref","is-referenced-by-count":10,"title":["Instanton Counting and Wall-Crossing for Orbifold Quivers"],"prefix":"10.1007","volume":"14","author":[{"given":"Michele","family":"Cirafici","sequence":"first","affiliation":[]},{"given":"Annamaria","family":"Sinkovics","sequence":"additional","affiliation":[]},{"given":"Richard J.","family":"Szabo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,8,1]]},"reference":[{"key":"195_CR1","doi-asserted-by":"publisher","first-page":"569","DOI":"10.1007\/BF02096804","volume":"158","author":"S. Cecotti","year":"1993","unstructured":"Cecotti S., Vafa C.: On classification of \n                    \n                      \n                    \n                    $${{\\mathcal N}=2}$$\n                   supersymmetric theories. Commun. Math. Phys. 158, 569 (1993) arXiv:hep-th\/9211097","journal-title":"Commun. Math. Phys."},{"key":"195_CR2","doi-asserted-by":"publisher","first-page":"19","DOI":"10.1016\/0550-3213(94)90124-4","volume":"426","author":"N. Seiberg","year":"1994","unstructured":"Seiberg N., Witten E.: Monopole condensation and confinement in \n                    \n                      \n                    \n                    $${{\\mathcal N}=2}$$\n                   supersymmetric Yang\u2013Mills theory. Nucl. Phys. B 426, 19 (1994) arXiv:hep-th\/ 9407087","journal-title":"Nucl. Phys. B"},{"key":"195_CR3","unstructured":"Denef F., Moore G.W. : Split states, entropy enigmas, holes and halos. arXiv: hep-th\/0702146"},{"key":"195_CR4","unstructured":"Joyce, D., Song, Y.: A theory of generalized Donaldson\u2013Thomas invariants. arXiv:0810.5645 [math.AG]"},{"key":"195_CR5","unstructured":"Kontsevich, M., Soibelman, Y.: Stability structures, motivic Donaldson\u2013Thomas invariants and cluster transformations. arXiv:0811.2435 [math.AG]"},{"key":"195_CR6","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1007\/s00220-010-1071-2","volume":"299","author":"D. Gaiotto","year":"2010","unstructured":"Gaiotto D., Moore G.W., Neitzke A.: Four-dimensional wall-crossing via three-dimensional field theory. Commun. Math. Phys. 299, 163 (2010) arXiv:0807.4723 [hep-th]","journal-title":"Commun. Math. Phys."},{"key":"195_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11005-009-0357-9","volume":"91","author":"T. Dimofte","year":"2010","unstructured":"Dimofte T., Gukov S.: Refined, motivic, and quantum. Lett. Math. Phys. 91, 1 (2010) arXiv:0904.1420 [hep-th]","journal-title":"Lett. Math. Phys."},{"key":"195_CR8","unstructured":"Gaiotto D., Moore G.W., Neitzke A. : Wall-crossing, Hitchin systems, and the WKB approximation arXiv:0907.3987 [hep-th]"},{"key":"195_CR9","unstructured":"Cecotti, S., Vafa, C.: BPS wall-crossing and topological strings. arXiv:0910.2615 [hep-th]"},{"key":"195_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11005-010-0437-x","volume":"95","author":"T. Dimofte","year":"2011","unstructured":"Dimofte T., Gukov S., Soibelman Y.: Quantum wall-crossing in \n                    \n                      \n                    \n                    $${{\\mathcal N}=2}$$\n                   gauge theories. Lett. Math. Phys. 95, 1 (2011) arXiv:0912.1346 [hep-th]","journal-title":"Lett. Math. Phys."},{"key":"195_CR11","unstructured":"Gaiotto, D., Moore, G.W., Neitzke, A.: Framed BPS states. arXiv:1006.0146 [hep-th]"},{"key":"195_CR12","first-page":"1171","volume":"12","author":"B. Szendroi","year":"2008","unstructured":"Szendroi B.: Noncommutative Donaldson-Thomas theory and the conifold. Geom. Topol. 12, 1171 (2008) arXiv:0705.3419 [math.AG]","journal-title":"Topol."},{"key":"195_CR13","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1007\/s00220-009-0836-y","volume":"292","author":"H. Ooguri","year":"2009","unstructured":"Ooguri H., Yamazaki M.: Crystal melting and toric Calabi\u2013Yau manifolds. Commun. Math. Phys. 292, 179 (2009) arXiv:0811.2801 [hep-th]","journal-title":"Commun. Math. Phys."},{"key":"195_CR14","unstructured":"Aganagic, M., Ooguri, H., Vafa, C., Yamazaki, M.: Wall-crossing and M-theory. arXiv:0908.1194 [hep-th]"},{"key":"195_CR15","doi-asserted-by":"publisher","first-page":"011","DOI":"10.1088\/1126-6708\/2008\/04\/011","volume":"04","author":"A. Iqbal","year":"2008","unstructured":"Iqbal A., Nekrasov N.A., Okounkov A., Vafa C.: Quantum foam and topological strings. J. High Energy Phys. 04, 011 (2008) arXiv:hep-th\/0312022","journal-title":"J. High Energy Phys."},{"key":"195_CR16","unstructured":"Jafferis, D.L.: Topological quiver matrix models and quantum foam. arXiv: 0705.2250 [hep-th]"},{"key":"195_CR17","doi-asserted-by":"publisher","first-page":"452","DOI":"10.1016\/j.nuclphysb.2008.09.024","volume":"809","author":"M. Cirafici","year":"2009","unstructured":"Cirafici M., Sinkovics A., Szabo R.J.: Cohomological gauge theory, quiver matrix models and Donaldson\u2013Thomas theory. Nucl. Phys. B 809, 452 (2009) arXiv:0803.4188 [hep-th]","journal-title":"Nucl. Phys. B"},{"key":"195_CR18","doi-asserted-by":"publisher","first-page":"508","DOI":"10.1016\/j.nuclphysb.2011.08.002","volume":"853","author":"M. Cirafici","year":"2011","unstructured":"Cirafici M., Sinkovics A., Szabo R.J.: Instantons, quivers and noncommutative Donaldson-Thomas theory. Nucl. Phys. B 853, 508 (2011) arXiv:1012.2725 [hep-th]","journal-title":"Nucl. Phys. B"},{"key":"195_CR19","doi-asserted-by":"publisher","unstructured":"Stoppa, J.: D0\u2013D6 states counting and GW invariants. Lett. Math. Phys. doi:\n                    10.1007\/s11005-012-0560-y\n                    \n                  . arxiv:0912.2923 [math.AG]","DOI":"10.1007\/s11005-012-0560-y"},{"key":"195_CR20","doi-asserted-by":"crossref","first-page":"49","DOI":"10.4310\/CNTP.2010.v4.n1.a2","volume":"4","author":"Y. Toda","year":"2010","unstructured":"Toda Y.: On a computation of rank two Donaldson\u2013Thomas invariants. Commun. Number Theory Phys. 4, 49\u2013102 (2010) arxiv:0912.2507 [math.AG]","journal-title":"Commun. Number Theory Phys."},{"key":"195_CR21","unstructured":"Cecotti, S., Neitzke, A., Vafa, C.: R-twisting and 4d\/2d correspondences. arXiv: 1006.3435 [hep-th]"},{"key":"195_CR22","unstructured":"Aganagic, M., Schaeffer, K.: Wall-crossing, quivers and crystals. arXiv:1006.2113 [hep-th]"},{"key":"195_CR23","doi-asserted-by":"publisher","first-page":"069","DOI":"10.1088\/1126-6708\/2009\/10\/069","volume":"10","author":"A. Iqbal","year":"2009","unstructured":"Iqbal A., Kozcaz C., Vafa C.: The refined topological vertex. J. High Energy Phys. 10, 069 (2009) arXiv:hep-th\/0701156","journal-title":"J. High Energy Phys."},{"key":"195_CR24","doi-asserted-by":"publisher","first-page":"1307","DOI":"10.4007\/annals.2009.170.1307","volume":"170","author":"K. Behrend","year":"2009","unstructured":"Behrend K.: Donaldson\u2013Thomas invariants via microlocal geometry. Ann. Math. 170, 1307 (2009) arXiv:math.AG\/0507523","journal-title":"Ann. Math."},{"key":"195_CR25","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1215\/00127094-2010-009","volume":"152","author":"B. Young","year":"2010","unstructured":"Young, B., Bryan, J.: Generating functions for coloured 3D Young diagrams and the Donaldson\u2013Thomas invariants of orbifolds. Duke Math. J. 152, 115 (2010). arXiv:0802.3948 [math.CO]","journal-title":"Duke Math. J."},{"key":"195_CR26","doi-asserted-by":"publisher","first-page":"059","DOI":"10.1007\/JHEP07(2011)059","volume":"1107","author":"J. Manschot","year":"2011","unstructured":"Manschot J., Pioline B., Sen A.: Wall crossing from Boltzmann black hole halos. JHEP 1107, 059 (2011) arXiv:1011.1258 [hep-th]","journal-title":"JHEP"},{"key":"195_CR27","doi-asserted-by":"publisher","first-page":"597","DOI":"10.1007\/0-8176-4467-9_16","volume":"244","author":"A. Okounkov","year":"2006","unstructured":"Okounkov A., Reshetikhin N., Vafa C.: Quantum Calabi\u2013Yau and classical crystals. Progr. Math. 244, 597 (2006) arXiv:hep-th\/0309208","journal-title":"Progr. Math."},{"key":"195_CR28","unstructured":"Behrend, K., Bryan, J., Szendr\u0151i, B.: Motivic degree zero Donaldson\u2013Thomas invariants. arXiv:0909.5088 [math.AG]"},{"key":"195_CR29","unstructured":"Mozgovoy, S.: On the motivic Donaldson\u2013Thomas invariants of quivers with potentials. arXiv:1103.2902 [math.AG]"},{"key":"195_CR30","unstructured":"Nagao, K.: Wall-crossing of the motivic Donaldson\u2013Thomas invariants. arXiv: 1103.2922 [math.AG]"},{"key":"195_CR31","unstructured":"Morrison, A.: Motivic invariants of quivers via dimensional reduction. arXiv: 1103.3819 [math.AG]"},{"key":"195_CR32","unstructured":"Morrison, A., Mozgovoy, S., Nagao, K., Szendr\u0151i, B.: Motivic Donalsdon\u2013Thomas invariants of the conifold and the refined topological vertex. arXiv: 1107.5017 [math.AG]"},{"key":"195_CR33","unstructured":"Mozgovoy, S.: Motivic Donaldson\u2013Thomas invariants and McKay correspondence. arXiv:1107.6044 [math.AG]"},{"key":"195_CR34","unstructured":"Kontsevich, M., Soibelman, Y.: Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson\u2013Thomas invariants. arXiv:1006.2706 [math.AG]"},{"key":"195_CR35","unstructured":"Bridgeland, T.: An introduction to motivic Hall algebras. arXiv:1002.4372 [math.AG]"},{"key":"195_CR36","doi-asserted-by":"publisher","first-page":"023","DOI":"10.1088\/1126-6708\/2002\/10\/023","volume":"10","author":"F. Denef","year":"2002","unstructured":"Denef F.: Quantum quivers and Hall\/hole halos. J. High Energy Phys. 10, 023 (2002) arXiv:hep-th\/0206072","journal-title":"J. High Energy Phys."},{"key":"195_CR37","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/978-3-0348-8268-2_19","volume":"201","author":"J. Denef","year":"2001","unstructured":"Denef J., Loeser F.: Geometry on arc spaces of algebraic varieties. Progr. Math. 201, 327 (2001) arXiv:math.AG\/0006050","journal-title":"Progr. Math."},{"key":"195_CR38","doi-asserted-by":"crossref","first-page":"865","DOI":"10.24033\/asens.2112","volume":"42","author":"V.V. Fock","year":"2009","unstructured":"Fock V.V., Goncharov A.B.: Cluster ensembles, quantization and the dilogarithm. Ann. Sci. \u00c9c. Norm. Sup\u00e9r. 42, 865 (2009) arXiv:math.AG\/0311245","journal-title":"Ann. Sci. \u00c9c. Norm. Sup\u00e9r."},{"key":"195_CR39","unstructured":"Keller, B.: Cluster algebras, quiver representations and triangulated categories. arXiv:0807.1960 [math.RT]"},{"key":"195_CR40","unstructured":"Nagao, K.: Donaldson\u2013Thomas theory and cluster algebras. arXiv:1002.4884 [math.AG]"},{"key":"195_CR41","doi-asserted-by":"publisher","first-page":"816","DOI":"10.1016\/j.jalgebra.2008.11.012","volume":"321","author":"J. Vit\u00f3ria","year":"2009","unstructured":"Vit\u00f3ria J.: Mutations vs. Seiberg duality. J. Algebra 321, 816 (2009) arXiv: 0709.3939 [math.RA]","journal-title":"Seiberg duality. J. Algebra"},{"key":"195_CR42","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1007\/s00029-008-0057-9","volume":"14","author":"H. Derksen","year":"2008","unstructured":"Derksen H., Weyman J., Zelevinsky A.: Quivers with potentials and their representations I: mutations. Selecta Math. (NS) 14, 59 (2008) arXiv:0704.0649 [math.RA]","journal-title":"Selecta Math. (NS)"},{"key":"195_CR43","doi-asserted-by":"publisher","first-page":"749","DOI":"10.1090\/S0894-0347-10-00662-4","volume":"23","author":"H. Derksen","year":"2010","unstructured":"Derksen H., Weyman J., Zelevinsky A.: Quivers with potentials and their representations II: applications to cluster algebras. J. Am. Math. Soc. 23, 749 (2010) arXiv:0904.0676 [math.RA]","journal-title":"J. Am. Math. Soc."}],"container-title":["Annales Henri Poincar\u00e9"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00023-012-0195-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00023-012-0195-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00023-012-0195-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00023-012-0195-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,12,9]],"date-time":"2019-12-09T18:20:04Z","timestamp":1575915604000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00023-012-0195-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,8,1]]},"references-count":43,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2013,5]]}},"alternative-id":["195"],"URL":"https:\/\/doi.org\/10.1007\/s00023-012-0195-7","relation":{},"ISSN":["1424-0637","1424-0661"],"issn-type":[{"value":"1424-0637","type":"print"},{"value":"1424-0661","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,8,1]]}}}