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Differential geometry of moduli spaces and its applications to soliton equations and to topological conformal field theory

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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.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 http://preprints.sissa.it/xmlui/handle/1963/6475
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.language.iso en en_US
dc.publisher Scuola Normale Superiore di Pisa en_US
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
dc.subject.miur MAT/03 GEOMETRIA
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US


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