## Abstract

Drinfeld Zastava is a certain closure of the moduli space of maps from the projective line to the Kashiwara flag scheme of the affine Lie algebra sl̂_{n}. We introduce an affine, reduced, irreducible, normal quiver variety Z which maps to the Zastava space bijectively at the level of complex points. The natural Poisson structure on the Zastava space can be described on Z 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 [14]. We prove that, for generic values of quantization parameters, Y is a quotient of the affine Borel Yangian.

Original language | English |
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Pages (from-to) | 235-271 |

Number of pages | 37 |

Journal | Journal of the European Mathematical Society |

Volume | 16 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2014 |

Externally published | Yes |