Geodesic
Quantization of Drinfeld Zastava in type $A$
Journal of the European Mathematical Society, Tome 16 (2014) no. 2, pp. 235-271

Voir la notice de l'article provenant de la source EMS Press

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 sl^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 [4]. We prove that, for generic values of quantization parameters, Y is a quotient of the affine Borel Yangian.
DOI : 10.4171/jems/432
Classification : 19-XX, 22-XX, 37-XX
Keywords: q-difference Toda lattice, Equivariant %K-theory, Laumon compactification. 
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Michael Finkelberg; Leonid Rybnikov. Quantization of Drinfeld Zastava in type $A$. Journal of the European Mathematical Society, Tome 16 (2014) no. 2, pp. 235-271. doi: 10.4171/jems/432

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