{"scopus_import":1,"month":"06","date_updated":"2021-01-12T08:09:24Z","title":"The critical CoHA of a quiver with potential","citation":{"apa":"Davison, B. (2017). The critical CoHA of a quiver with potential. <i>Quarterly Journal of Mathematics</i>. Oxford University Press. <a href=\"https://doi.org/10.1093/qmath/haw053\">https://doi.org/10.1093/qmath/haw053</a>","chicago":"Davison, Ben. “The Critical CoHA of a Quiver with Potential.” <i>Quarterly Journal of Mathematics</i>. Oxford University Press, 2017. <a href=\"https://doi.org/10.1093/qmath/haw053\">https://doi.org/10.1093/qmath/haw053</a>.","mla":"Davison, Ben. “The Critical CoHA of a Quiver with Potential.” <i>Quarterly Journal of Mathematics</i>, vol. 68, no. 2, Oxford University Press, 2017, pp. 635–703, doi:<a href=\"https://doi.org/10.1093/qmath/haw053\">10.1093/qmath/haw053</a>.","short":"B. Davison, Quarterly Journal of Mathematics 68 (2017) 635–703.","ista":"Davison B. 2017. The critical CoHA of a quiver with potential. Quarterly Journal of Mathematics. 68(2), 635–703.","ama":"Davison B. The critical CoHA of a quiver with potential. <i>Quarterly Journal of Mathematics</i>. 2017;68(2):635-703. doi:<a href=\"https://doi.org/10.1093/qmath/haw053\">10.1093/qmath/haw053</a>","ieee":"B. Davison, “The critical CoHA of a quiver with potential,” <i>Quarterly Journal of Mathematics</i>, vol. 68, no. 2. Oxford University Press, pp. 635–703, 2017."},"type":"journal_article","date_created":"2018-12-11T11:47:55Z","status":"public","ec_funded":1,"oa_version":"Submitted Version","department":[{"_id":"TaHa"}],"abstract":[{"lang":"eng","text":"Pursuing the similarity between the Kontsevich-Soibelman construction of the cohomological Hall algebra (CoHA) of BPS states and Lusztig's construction of canonical bases for quantum enveloping algebras, and the similarity between the integrality conjecture for motivic Donaldson-Thomas invariants and the PBW theorem for quantum enveloping algebras, we build a coproduct on the CoHA associated to a quiver with potential. We also prove a cohomological dimensional reduction theorem, further linking a special class of CoHAs with Yangians, and explaining how to connect the study of character varieties with the study of CoHAs."}],"year":"2017","publication_identifier":{"issn":["00335606"]},"issue":"2","publisher":"Oxford University Press","project":[{"name":"Arithmetic and physics of Higgs moduli spaces","_id":"25E549F4-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","grant_number":"320593"}],"author":[{"first_name":"Ben","orcid":"0000-0002-8944-4390","id":"4634AB1E-F248-11E8-B48F-1D18A9856A87","full_name":"Davison, Ben","last_name":"Davison"}],"doi":"10.1093/qmath/haw053","_id":"687","volume":68,"date_published":"2017-06-01T00:00:00Z","publication_status":"published","day":"01","publication":"Quarterly Journal of Mathematics","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","page":"635 - 703","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1311.7172","open_access":"1"}],"intvolume":"        68","language":[{"iso":"eng"}],"publist_id":"7022","quality_controlled":"1"}