2026-09-16T19:55:17Zhttps://gredos.usal.es/oai/request

oai:gredos.usal.es:10366/1593222026-01-20T17:42:20Zcom_10366_4540com_10366_4512com_10366_3823col_10366_4541

Plaza Martín, Francisco José 2024-08-27T09:19:29Z 2024-08-27T09:19:29Z 2015 http://hdl.handle.net/10366/159322 10.3842/SIGMA.2015.052 1815-0659 [EN]We will describe algebro-geometric solutions of the KdV hierarchy whose τ-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 τ-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 Gl(n)-opers on the punctured disk. eng info:eu-repo/semantics/openAccess string equation Virasoro constraints KP hierarchy Gl(n)-opers Sato Grassmannian Algebro-Geometric Solutions of the Generalized Virasoro Constraints info:eu-repo/semantics/article