Middle convolution and Harnad duality

2009/11/30 by Daisuke Yamakawa · 11 citations
Mathematics · #Algebraic and Geometric Analysis #Convolution (computer science) #Convolution power #Convolution theorem #Duality (order theory) #Generalization #Geometry and complex manifolds #Holomorphic and Operator Theory #Interpretation (philosophy) #Invariant (physics) #math.AG #math.CA #msc:14L24 #msc:34M15 #msc:53D30

paper · pdf · doi:10.1007/s00208-010-0517-3

published in Mathematische Annalen 349(1), 215-262 (Springer Nature) · 50 pages; v2: Submitted version once revised according to referees' comments

arxiv created 2010/02/08 · openalex publication_date 2010/04/27 · arxiv updated 2010/08/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We interpret the additive middle convolution operation in terms of the Harnad duality, and as an application, generalize the operation to have a multi-parameter and act on irregular singular systems.

Citations

• Geometry of the Moment Map for Representations of Quivers
• Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
• MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS