On blowup formulae for the S-duality conjecture of Vafa and Witten II: the universal functions

1998/05/12 by Wei-Ping Li, Zhenbo Qin, Li, Wei-Ping +1 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9805055

13 pages

arxiv created 1998/05/12 · openalex publication_date 1998/05/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is the second part of two papers. In this part, we establish closed formulae for the universal functions in the blowup formulae for virtual Hodge polynomials of Gieseker moduli spaces of rank-2 stable sheaves and Uhlenbeck compactification spaces over algebraic surfaces.

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• Instantons on the Blown-up Surface and the Affine Vertex Algebra
• Abel maps for integral curves via a derived perspective

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