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## Quantization of Drinfeld Zastava in type С

Drinfeld zastava is a certain closure of the moduli space of maps from the projective line to the Kashiwara flag scheme of an affine Lie algebra *g*^. In case *g* is the symplectic Lie algebra *spN*, we introduce an affine, reduced, irreducible, normal quiver variety *Z* which maps to the zastava space isomorphically in characteristic 0. The natural Poisson structure on the zastava space *Z* can be described in terms of Hamiltonian reduction of a certain Poisson subvariety of the dual space of a (nonsemisimple) Lie algebra. The quantum Hamiltonian reduction of the corresponding quotient of its universal enveloping algebra produces a quantization *Y* of the coordinate ring of *Z*. The same quantization was obtained in the finite (as opposed to the affine) case generically in arXiv:math/0409031 . We prove that *Y* is a quotient of the affine Borel Yangian. The analogous results for *g*=*slN* were obtained in our previous work arXiv:1009.0676 .