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Witten Solution for the Gelfand–Dikii Hierarchy

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Functional Analysis and Its Applications Aims and scope

Abstract

We derive formulas making it possible to calculate the Taylor expansion coefficients of the string solution for the Gelfand–Dikii hierarchy. According to the Witten conjecture, these coefficients coincide with the Mumford–Morita–Miller intersection numbers (correlators) of stable cohomology classes for the moduli space of n-spin bundles on Riemann surfaces with punctures.

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  1. Moscow State University, Independent Moscow University, Russia

    S. M. Natanzon

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  1. S. M. Natanzon
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Natanzon, S.M. Witten Solution for the Gelfand–Dikii Hierarchy. Functional Analysis and Its Applications 37, 21–31 (2003). https://doi.org/10.1023/A:1022919926368

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