On the K-theory of the cyclic quiver variety

Details On the K-theory of the cyclic quiver variety On the K-theory of the cyclic quiver variety

1999-02-15

arxiv.org/abs/math/9902091v1

Mathematics

Algebraic Geometry

22 pages, AMS-tex

Scientific paper

We compute the convolution product on the equivariant K-groups of the cyclic
quiver variety. We get a q-analogue of double-loop algebras, closely related to
the toroidal quantum groups previously studied by the authors. We also give a
geometric interpretation of the cyclic quiver variety in terms of equivariant
torsion-free sheaves on the projective plane.

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