Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893635 | Journal of Geometry and Physics | 2012 | 18 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Szilárd Szabó,