Geometry of 2d topological field theories

Simple item page
dc.creatorDubrovin, Boris
dc.date1994-07-04
dc.date.accessioned2026-07-07T09:14:20Z
dc.date.available2026-07-07T09:14:20Z
dc.descriptionThese lecture notes are devoted to the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories. Introduction. Lecture 1. WDVV equations and Frobenius manifolds. {Appendix A.} Polynomial solutions of WDVV. {Appendix B.} Symmetriies of WDVV. Twisted Frobenius manifolds. {Appendix C.} WDVV and Chazy equation. Affine connections on curves with projective structure. Lecture 2. Topological conformal field theories and their moduli. Lecture 3. Spaces of isomonodromy deformations as Frobenius manifolds. {Appendix D.} Geometry of flat pencils of metrics. {Appendix E.} WDVV and Painlevé-VI. {Appendix F.} Branching of solutions of the equations of isomonodromic deformations and braid group. {Appendix G.} Monodromy group of a Frobenius manifold. {Appendix H.} Generalized hypergeometric equation associated to a Frobenius manifold and its monodromy. {Appendix I.} Determination of a superpotential of a Frobenius manifold. Lecture 4. Frobenius structure on the space of orbits of a Coxeter group. {Appendix J.} Extended complex crystallographic groups and twisted Frobenius manifolds. Lecture 5. Differential geometry of Hurwitz spaces. Lecture 6. Frobenius manifolds and integrable hierarchies. Coupling to topological gravity.
dc.description204 pages + 15 pictures (not included, available on request)
dc.identifierhttps://arxiv.org/abs/hep-th/9407018
dc.identifierhttp://arxiv.org/abs/hep-th/9407018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152637
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleGeometry of 2d topological field theories
dc.typetext

Files

Collections

arXiv