Rank stable instantons over positive definite four manifolds

2003/01/15 by Joao Paulo Santos, João Paulo Santos, Santos, Joao Paulo
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AG #math.AT

paper · pdf · doi:10.48550/arxiv.math/0301158

34 pages

arxiv created 2003/01/15 · openalex publication_date 2003/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the moduli space of rank stable based instantons over a connected sum of q copies of CP². For c₂=1 we give the homotopy type of the moduli space. For c₂=2 we compute the cohomology of the moduli space.

Citations

• Blowups of surfaces and moduli of holomorphic vector bundles
• The Rank Stable Topology of Instantons on \cpbar
• Stable pairs on curves and surfaces
• Construction of instantons
• A planar diagram theory for strong interactions

Related

• Dirac operator coupled to instantons on positive definite 4 manifolds
• Rank-stable limit of completed moduli spaces of instantons
• The Rank Stable Topology of Instantons on \cpbar
• Instantons on S⁴ and \cpbar , rank stabilization, and Bott periodicity
• Moduli Spaces of Instantons on Noncommutative 4-Manifolds