TY - JOUR T1 - Hamiltonian formalism of Whitham-type hierarchies and topological Landau - Ginsburg models JF - Communications in Mathematical Physics. Volume 145, Issue 1, March 1992, Pages 195-207 Y1 - 1992 A1 - Boris Dubrovin AB - We show that the bi-hamiltonian structure of the averaged Gelfand-Dikii\\r\\nhierarchy is involved in the Landau-Ginsburg topological models (for An-Series):\\r\\nthe Casimirs for the first P.B. give the correct coupling parameters for the perturbed\\r\\ntopological minimal model; the correspondence {coupling parameters} ~ {primary\\r\\nfields} is determined by the second P.B. The partition function (at the tree level) and\\r\\nthe chiral algebra for LG models are calculated for any genus g. PB - SISSA UR - http://hdl.handle.net/1963/6476 U1 - 6434 U2 - Mathematics U4 - 1 U5 - MAT/07 FISICA MATEMATICA ER -