4 papers · 1 filter
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…
Coherent sheaves on surfaces, COHAs and deformed -algebras
Anton Mellit, Alexandre Minets, Olivier Schiffmann +1
We compute the cohomological Hall algebra of zero-dimensional sheaves on an arbitrary smooth quasi-projective surface with pure cohomology, deriving an explicit presentation by…