6 papers
Hecke operators on symplectic surfaces and -independence
Ben Davison, Lucien Hennecart, Tasuki Kinjo +2
We prove Toda's chi-independence conjecture for the BPS cohomology of moduli spaces of one-dimensional sheaves on quasi-projective symplectic surfaces, relative to the Chow variety…
Cohomological Hall algebras of one-dimensional sheaves on surfaces and Yangians
Duiliu-Emanuel Diaconescu, Mauro Porta, Francesco Sala +2
This paper provides the first algebraic characterization of an algebra of cohomological Hecke operators associated with modifications of coherent sheaves on a smooth surface al…
Nilpotent cohomological Hall algebras of surfaces
Duiliu-Emanuel Diaconescu, Mauro Porta, Francesco Sala +2
This paper develops a framework for systematically studying cohomological "Hecke operators" associated with modifications of coherent sheaves on a smooth surface along a fixed…
KLR-Schur algebra of coherent sheaves on the projective line: Tilting and PBW bases
Olivier Schiffmann, Fang Yang
We begin the study of Khovanov-Lauda-Rouquier type algebras associated to moduli stacks of coherent sheaves on smooth projective curves. We consider the case of and…
Kleinian orbifolds, Cohomological Hall Algebras, and Yangians
Francesco Sala, Olivier Schiffmann, Parth Shimpi
We establish, for each orbifold crepantly resolving a Kleinian singularity, the existence of the cohomological Hall algebra (COHA) of coherent sheaves supported on the exceptional…
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Tamas Hausel, Anton Mellit, Alexandre Minets +1
Let be the Lie algebra of polynomial Hamiltonian vector fields on the symplectic plane. Let be the moduli space of stable Higgs bundles of fixed relatively prim…