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Title:
Hamiltonian Local Models for Symplectic Derived Stacks
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Abstract:
We show that a derived stack with symplectic form of negative degree can be locally described in terms of generalised Darboux coordinates and a Hamiltonian cohomological vector field. As a consequence we see that the classical moduli stack of vector bundles on a Calabi-Yau threefold admits an atlas consisting of critical loci of regular functions on smooth varieties, and similarly for the stack of maps from an elliptic curve to a symplectic variety. This is joint work with Ben-Bassat, Bussi and Joyce.
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