Article ID Journal Published Year Pages File Type
1893635 Journal of Geometry and Physics 2012 18 Pages PDF
Abstract

We prove that Nahm transform for integrable connections with a finite number of regular singularities and an irregular singularity of rank 1 on the Riemann sphere is equivalent–up to considering integrable connections as holonomic DD-modules–to minimal Laplace transform. We assume semi-simplicity and resonance-freeness conditions, and we work in the framework of objects with a parabolic structure. In particular, we describe the definition of the parabolic version of Laplace transform due to C. Sabbah. The proof of the main result relies on the study of a twisted de Rham complex.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
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