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The Plancherel Theorem for Fourier–Laplace–Nahm Transform for Connections on the Projective Line

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Abstract

We prove that the Fourier–Laplace–Nahm transform for connections with finitely many logarithmic singularities and a double pole at infinity on the projective line, all with semi-simple singular parts, is a hyper-Kähler isometry.

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Authors and Affiliations

  1. Budapest University of Technology and Economics, Egry J. u. 1 H ép., Budapest, 1111, Hungary

    Szilárd Szabó

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  1. Szilárd Szabó
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Correspondence to Szilárd Szabó.

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Communicated by N. A. Nekrasov

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Szabó, S. The Plancherel Theorem for Fourier–Laplace–Nahm Transform for Connections on the Projective Line. Commun. Math. Phys. 338, 753–769 (2015). https://doi.org/10.1007/s00220-015-2348-2

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  • DOI: https://doi.org/10.1007/s00220-015-2348-2

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