Proves Toda's chi-independence conjecture and identifies BPS Lie algebra with tautological classes for one-dimensional Mukai vectors using Hecke operators and bialgebra structures.
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Shifted symplectic structures are built on rigidified moduli spaces of sheaves on Calabi-Yau varieties of dimension two or higher, with a proof that B G_m actions are Hamiltonian and a new rigidification functor as left adjoint.
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Hecke operators on symplectic surfaces and $\chi$-independence
Proves Toda's chi-independence conjecture and identifies BPS Lie algebra with tautological classes for one-dimensional Mukai vectors using Hecke operators and bialgebra structures.
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Shifted symplectic rigidification
Shifted symplectic structures are built on rigidified moduli spaces of sheaves on Calabi-Yau varieties of dimension two or higher, with a proof that B G_m actions are Hamiltonian and a new rigidification functor as left adjoint.