Bihamiltonian Hierarchies in 2D Topological Field Theory At One-Loop Approximation |
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Authors: | Boris Dubrovin Youjin Zhang |
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Institution: | SISSA, Via Beirut 2–4, 34014 Trieste, Italy. E-mail: dubrovin@sissa.it, IT Division of Mathematics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan.?E-mail: youjin@kusm.kyoto-u.ac.jp, JP
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Abstract: | 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.
Received: 16 January 1998 / Accepted: 2 April 1998 |
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