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Multifold Darboux Transformations of the Extended Bigraded Toda Hierarchy

Multifold Darboux Transformations of the Extended Bigraded Toda Hierarchy

Abstract With the extended logarithmic flow equations and some extended Vertex operators in generalized Hirota bilinear equations, extended bigraded Toda hierarchy (EBTH) was proved to govern the Gromov-Witten theory of orbiford c NM in literature. The generating function of these Gromov-Witten invariants is one special solution of the EBTH. In …