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• W1523822308 abstract "We will describe algebro-geometric solutions of the KdV hierarchy whose $tau$-functions in addition satisfy a generalization of the Virasoro constraints (and, in particular, a generalization of the string equation). We show that these solutions are closely related to embeddings of the positive half of the Virasoro algebra into the Lie algebra of differential operators on the circle. Our results are tested against the case of Witten-Kontsevich $tau$-function. As by-products, we exhibit certain links of our methods with double covers of the projective line equipped with a line bundle and with ${rm Gl}(n)$-opers on the punctured disk." @default.
• W1523822308 created "2016-06-24" @default.
• W1523822308 creator A5070811193 @default.
• W1523822308 date "2011-10-04" @default.
• W1523822308 modified "2023-10-17" @default.
• W1523822308 title "Algebro-geometric solutions of the string equation" @default.
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• W1523822308 hasPublicationYear "2011" @default.
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