2015/12/21 by Lothar Göttsche, Yuan Yao, Göttsche, Lothar +2
Mathematics · #14D21 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG #msc:14D21
paper · pdf · doi:10.48550/arxiv.1512.06648
50 pages
arxiv created 2015/12/21 · openalex publication_date 2015/12/21 · arxiv updated 2015/12/22 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
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.