{"year":"2020","ddc":["510"],"abstract":[{"lang":"eng","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."}],"publication_identifier":{"eissn":["14209020"],"issn":["10221824"]},"publisher":"Springer Nature","issue":"2","status":"public","article_type":"original","oa_version":"Published Version","department":[{"_id":"TaHa"}],"citation":{"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>","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.","short":"S. Minets, Selecta Mathematica, New Series 26 (2020).","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.","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>","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>."},"type":"journal_article","article_number":"30","has_accepted_license":"1","date_created":"2020-04-26T22:00:44Z","isi":1,"article_processing_charge":"Yes (via OA deal)","scopus_import":"1","title":"Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces","month":"04","date_updated":"2023-08-21T06:14:58Z","oa":1,"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"intvolume":"        26","license":"https://creativecommons.org/licenses/by/4.0/","quality_controlled":"1","language":[{"iso":"eng"}],"file_date_updated":"2020-07-14T12:48:02Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file":[{"checksum":"2368c4662629b4759295eb365323b2ad","file_id":"7690","date_created":"2020-04-28T10:57:58Z","access_level":"open_access","relation":"main_file","file_name":"2020_SelectaMathematica_Minets.pdf","date_updated":"2020-07-14T12:48:02Z","file_size":792469,"content_type":"application/pdf","creator":"dernst"}],"date_published":"2020-04-15T00:00:00Z","publication":"Selecta Mathematica, New Series","publication_status":"published","day":"15","external_id":{"isi":["000526036400001"],"arxiv":["1801.01429"]},"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"doi":"10.1007/s00029-020-00553-x","author":[{"first_name":"Sasha","id":"3E7C5304-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3883-1806","full_name":"Minets, Sasha","last_name":"Minets"}],"volume":26,"_id":"7683"}