Generating functions for K-theoretic Donaldson invariants and Le Potier's strange duality

Published 21 Dec 2015 in math.AG | (1512.06648v1)

Abstract: K-theoretic Donaldson invariants are holomorphic Euler characteristics of determinant line bundles on moduli spaces of sheaves on surfaces. We compute generating functions of K-theoretic Donaldson invariants on the projective plane and rational ruled surfaces. We apply this result to prove some cases of Le Potier's strange duality.

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