The Plancherel theorem for Fourier--Laplace--Nahm transform for connections on the projective line

Abstract

We prove that the Fourier--Laplace--Nahm transform for connections on the projective line is a hyper-Kähler isometry.

arXiv comment17 pages

References in corpus (3)

• Dual Isomonodromic Deformations and Moment Maps to Loop Algebras
• Multi-Hamiltonian structures for r-matrix systems
• Algebraic Nahm transform for Parabolic Higgs Bundles on P^1

Cited by in corpus (1)

• Nahm transformation for parabolic Higgs bundles on the projective line --- case of non-semisimple residues