-------------------------------------------------------------------------------------- [1]を読む上で必要になる, cohomological Hall algebra (CoHa) とその周辺の基礎知識を解説をします. 次の3項目を説明する予定です. 1. CoHaの定義と例. [2]の部分的解説です. 2. stable modelから構成されるCoHaの加群. [3]の部分的解説です. 3. [1]の主張の解説. [1] M. Rapcak, Y. Soibelman, Y. Yang, G. Zhao, Cohomological Hall algebras, vertex algebras and instantons, arXiv:1810.10402. [2] M. Kontsevich, Y. Soibelman, Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants, Commun. Number Theory Phys. 5 (2011), no. 2, 231-352; arXiv:1006.2706. [3] Y. Soibelman, Remarks on Cohomological Hall algebras and their representations, Arbeitstagung Bonn 2013, 355-385, Progr. Math. 319, Birkhuser/Springer, 2016; arXiv:1404.1606. --------------------------------------------------------------------------------------