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

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.

50 pages

References in corpus (3)

• Seiberg-Witten Theory and Random Partitions
• The rank-level duality for non-abelian theta functions
• On the strange duality conjecture for abelian surfaces II

Cited by in corpus (4)

• Rank-one sheaves and stable pairs on surfaces
• Blowup formulas for Segre and Verlinde numbers of surfaces and higher rank Donaldson invariants
• Strange duality on ${\mathbb{P}}^2$ via quiver representations
• Moduli spaces of 1-dimensional semi-stable sheaves and Strange duality on ${\mathbb{P}}^2$