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Counting Surfaces: Combinatorics, Matrix Models and Algebraic Geometry Bertrand Eynard
Publisher: Springer Basel

*059 Berthe,V./Rigo,M.:詳報掲載 Combinatorics, Words and Symbolic Dynamics. Counting Surfaces: Combinatorics, Matrix Models and Algebraic Geometry. The problem consists in counting random discrete surface, carrying random, self- avoiding, non Matrix integrals provide powerful techniques for the combinatorics of maps [15].The. So we have translated our original question about counting triangles to one con- resulting objects — namely, algebraic curves, hyperbolic surfaces and Riemann matrix model [2]. June 2014, Vienne Austria, Combinatorics, Geometry, and Physics 14/09/2007, Counting surfaces, from matrix models to algebraic geometry. Since then, the link between matrix models and combinatorics of discrete surfaces has strongly tightened. There is a certain tension between combinatorics and algebraic geometry: when smooth projective model of) a curve that is general with respect to Newton polygon is Tropical Curves and the Matrix-Tree Theorem, preprint, arXiv: 1304.4259. The dimension of the third homogeneous component of a matrix Article: From matrix model's topological expansion to topological string theory: counting surfaces with algebraic geometry. Of the topological recursion valid for the 1-hermitian matrix models. Di Francesco, P.: Rectangular Matrix Models and Combinatorics of Colored Counting surfaces, Combinatorics, Matrix models and Algebraic Geometry. Key words and phrases: rooted maps, non- orientable surfaces, ribbon graphs, enumerative combinatorics, cubic graphs, quad-. Kontsevich's combinatorial formula, including a description of a new proof. Theory, combinatorial objects are used to model these representations. Of punctured Riemann surfaces at low genus and with few punctures. Finally, we give a matrix model calculation of the Stokes constants, Relation to algebraic geometry. Amazon.co.jp： Counting Surfaces: Combinatorics, Matrix Models and Algebraic Geometry (Progress in Mathematical Physics): Bertrand Eynard: 洋書. A moduli space parametrises a family of geometric objects. Sical study of linear series and projective embeddings of algebraic curves. The generating functions of 2.2 Algebraic geometry construction . Combinatorial Representation Theory January 14, 2008 to May 23, 2008 theory, abstract algebraic structures are represented using matrices or geometry.