{"oa_version":"Published Version","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"isi":1,"abstract":[{"text":"For any free oriented Borel–Moore homology theory A, we construct an associative product on the A-theory of the stack of Higgs torsion sheaves over a projective curve C. We show that the resulting algebra AHa0C admits a natural shuffle presentation, and prove it is faithful when A is replaced with usual Borel–Moore homology groups. We also introduce moduli spaces of stable triples, heavily inspired by Nakajima quiver varieties, whose A-theory admits an AHa0C-action. These triples can be interpreted as certain sheaves on PC(ωC⊕OC). In particular, we obtain an action of AHa0C on the cohomology of Hilbert schemes of points on T∗C.","lang":"eng"}],"publisher":"Springer Nature","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa":1,"external_id":{"arxiv":["1801.01429"],"isi":["000526036400001"]},"has_accepted_license":"1","language":[{"iso":"eng"}],"year":"2020","day":"15","date_updated":"2023-08-21T06:14:58Z","article_type":"original","publication_identifier":{"eissn":["14209020"],"issn":["10221824"]},"intvolume":"        26","publication":"Selecta Mathematica, New Series","doi":"10.1007/s00029-020-00553-x","date_published":"2020-04-15T00:00:00Z","title":"Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"scopus_import":"1","file_date_updated":"2020-07-14T12:48:02Z","date_created":"2020-04-26T22:00:44Z","article_number":"30","citation":{"short":"S. Minets, Selecta Mathematica, New Series 26 (2020).","ama":"Minets S. Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces. <i>Selecta Mathematica, New Series</i>. 2020;26(2). doi:<a href=\"https://doi.org/10.1007/s00029-020-00553-x\">10.1007/s00029-020-00553-x</a>","chicago":"Minets, Sasha. “Cohomological Hall Algebras for Higgs Torsion Sheaves, Moduli of Triples and Sheaves on Surfaces.” <i>Selecta Mathematica, New Series</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s00029-020-00553-x\">https://doi.org/10.1007/s00029-020-00553-x</a>.","apa":"Minets, S. (2020). Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces. <i>Selecta Mathematica, New Series</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00029-020-00553-x\">https://doi.org/10.1007/s00029-020-00553-x</a>","mla":"Minets, Sasha. “Cohomological Hall Algebras for Higgs Torsion Sheaves, Moduli of Triples and Sheaves on Surfaces.” <i>Selecta Mathematica, New Series</i>, vol. 26, no. 2, 30, Springer Nature, 2020, doi:<a href=\"https://doi.org/10.1007/s00029-020-00553-x\">10.1007/s00029-020-00553-x</a>.","ista":"Minets S. 2020. Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces. Selecta Mathematica, New Series. 26(2), 30.","ieee":"S. Minets, “Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces,” <i>Selecta Mathematica, New Series</i>, vol. 26, no. 2. Springer Nature, 2020."},"month":"04","author":[{"orcid":"0000-0003-3883-1806","first_name":"Sasha","last_name":"Minets","id":"3E7C5304-F248-11E8-B48F-1D18A9856A87","full_name":"Minets, Sasha"}],"_id":"7683","file":[{"creator":"dernst","content_type":"application/pdf","access_level":"open_access","checksum":"2368c4662629b4759295eb365323b2ad","file_name":"2020_SelectaMathematica_Minets.pdf","date_created":"2020-04-28T10:57:58Z","file_id":"7690","file_size":792469,"relation":"main_file","date_updated":"2020-07-14T12:48:02Z"}],"status":"public","publication_status":"published","quality_controlled":"1","volume":26,"issue":"2","department":[{"_id":"TaHa"}],"ddc":["510"],"article_processing_charge":"Yes (via OA deal)","type":"journal_article"}