منابع مشابه
Deformations of Frobenius structures on Hurwitz spaces
Deformations of Dubrovin’s Hurwitz Frobenius manifolds are constructed. The deformations depend on g(g+1)/2 complex parameters where g is the genus of the corresponding Riemann surface. In genus one, the flat metric of the deformed Frobenius manifold coincides with a metric associated with a one-parameter family of solutions to the Painlevé-VI equation with coefficients (1/8,−1/8, 1/8, 3/8) . A...
متن کاملFrobenius Manifolds: Natural Submanifolds and Induced Bi-hamiltonian Structures
Submanifolds of Frobenius manifolds are studied. In particular, so-called natural submanifolds are defined and, for semi-simple Frobenius manifolds, classified. These carry the structure of a Frobenius algebra on each tangent space, but will, in general, be curved. The induced curvature is studied, a main result being that these natural submanifolds carry a induced pencil of compatible metrics....
متن کاملGauss - Manin Systems , Brieskorn Lattices and Frobenius Structures ( I )
— We associate to any convenient nondegenerate Laurent polynomial f on the complex torus (C∗ )n a canonical Frobenius-Saito structure on the base space of its universal unfolding. According to the method of K. Saito (primitive forms) and of M. Saito (good basis of the Gauss-Manin system), the main problem, which is solved in this article, is the analysis of the Gauss-Manin system of f (or its u...
متن کاملCoherent structures and isolated spectrum for Perron–Frobenius cocycles
We present an analysis of one-dimensional models of dynamical systems that possess “coherent structures”; global structures that disperse more slowly than local trajectory separation. We study cocycles generated by expanding interval maps and the rates of decay for functions of bounded variation under the action of the associated Perron–Frobenius cocycles. We prove that when the generators are ...
متن کاملRoot Arrangements of Hyperbolic Polynomial-like Functions
A real polynomial P of degree n in one real variable is hyperbolic if its roots are all real. A real-valued function P is called a hyperbolic polynomial-like function (HPLF) of degree n if it has n real zeros and P (n) vanishes nowhere. Denote by x (i) k the roots of P , k = 1, . . . , n− i, i = 0, . . . , n− 1. Then in the absence of any equality of the form x (j) i = x (l) k (1) one has ∀i < ...
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ژورنال
عنوان ژورنال: Annales de la faculté des sciences de Toulouse Mathématiques
سال: 2015
ISSN: 0240-2963
DOI: 10.5802/afst.1445