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math.AG2026
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…
math.AG2026
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…