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Twisted Quasimaps and Symplectic Duality for Hypertoric Spaces

Twisted Quasimaps and Symplectic Duality for Hypertoric Spaces

We study moduli spaces of twisted quasimaps to a hypertoric variety X, arising as the Higgs branch of an abelian supersymmetric 3D gauge theory. These parametrize systems of maps between rank one sheaves on ¶ 1 , subject to a stability condition. We identify the singular cohomology of these moduli …