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