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.
Park, Virtual pullbacks in Donaldson-Thomas theory of Calabi-Yau 4 -folds
2 Pith papers cite this work. Polarity classification is still indexing.
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Establishes wall-crossing for Calabi-Yau four dg-quivers and local CY fourfolds via refined vertex algebras and a new stable infinity-categorical framework for virtual pullbacks.
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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.
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Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications
Establishes wall-crossing for Calabi-Yau four dg-quivers and local CY fourfolds via refined vertex algebras and a new stable infinity-categorical framework for virtual pullbacks.