@article{7683,
  abstract     = {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.},
  author       = {Minets, Sasha},
  issn         = {14209020},
  journal      = {Selecta Mathematica, New Series},
  number       = {2},
  publisher    = {Springer Nature},
  title        = {{Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces}},
  doi          = {10.1007/s00029-020-00553-x},
  volume       = {26},
  year         = {2020},
}