Differential geometry of moduli spaces and its applications to soliton equations and to topological conformal field theory
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Dubrovin, Boris | |
| dc.date.accessioned | 2013-02-13T14:11:31Z | |
| dc.date.available | 2013-02-13T14:11:31Z | |
| dc.date.issued | 1991-11 | |
| dc.description.abstract | We construct flat Riemannian metrics on moduli spaces of algebraic curves with marked meromorphic function. This gives a new class of exact algebraic-geometry solutions to certain non-linear equations in terms of functions on the moduli spaces. We show that the Riemannian metrics on the moduli spaces coincide with two-point correlators in topological conformal field theory and calculate the partition function for A_n model for arbitrary genus. A universal method for constructing complete families of conservation laws for Whitham-type hierarchies of PDEs is also proposed. | en_US |
| dc.identifier.citation | Preprint n.117, Scuola Normale Superiore, Pisa, November 1991, 31 pp. Published in: Surveys in Differential Geometry , Vol. IV (1999), p. 213 - 238. | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/6475 | |
| dc.language.iso | en | en_US |
| dc.miur.area | 1 | en_US |
| dc.publisher | Scuola Normale Superiore di Pisa | en_US |
| dc.subject.miur | MAT/03 GEOMETRIA | |
| dc.title | Differential geometry of moduli spaces and its applications to soliton equations and to topological conformal field theory | en_US |
| dc.type | Preprint | en_US |