Geodesic
Witten Solution for the Gelfand--Dikii Hierarchy
Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 1, pp. 25-37

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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.
Keywords: Gelfand–Dikii hierarchy, KP hierarchy
Mots-clés : moduli space, Witten conjecture. 
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     author = {S. M. Natanzon},
     title = {Witten {Solution} for the {Gelfand--Dikii} {Hierarchy}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {25--37},
     publisher = {mathdoc},
     volume = {37},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2003_37_1_a2/}
}
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S. M. Natanzon. Witten Solution for the Gelfand--Dikii Hierarchy. Funkcionalʹnyj analiz i ego priloženiâ, Tome 37 (2003) no. 1, pp. 25-37. http://geodesic.mathdoc.fr/item/FAA_2003_37_1_a2/