TY - JOUR T1 - Bihamiltonian Hierarchies in 2D Topological Field Theory At One-Loop Approximation JF - Comm. Math. Phys. 198 (1998) 311-361 Y1 - 1998 A1 - Boris Dubrovin A1 - Zhang Youjin AB - We compute the genus one correction to the integrable hierarchy describing coupling to gravity of a 2D topological field theory. The bihamiltonian structure of the hierarchy is given by a classical W-algebra; we compute the central charge of this algebra. We also express the generating function of elliptic Gromov - Witten invariants via tau-function of the isomonodromy deformation problem arising in the theory of WDVV equations of associativity. PB - Springer UR - http://hdl.handle.net/1963/3696 U1 - 609 U2 - Mathematics U3 - Mathematical Physics ER -