Triangulations
Bauer, M. ; Itzykson, C.
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 45 (1993), p. 39-112 / Harvested from Numdam
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Publié le : 1993-01-01
@article{RCP25_1993__44__39_0,
     author = {Bauer, Max and Itzykson, Claude},
     title = {Triangulations},
     journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25},
     volume = {45},
     year = {1993},
     pages = {39-112},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RCP25_1993__44__39_0}
}

Bauer, M.; Itzykson, C. Triangulations. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 45 (1993) pp. 39-112. http://gdmltest.u-ga.fr/item/RCP25_1993__44__39_0/

Yu.I. Manin, "Reflections on arithmetical Physics" in "Conformai Invariance and String Theory" Academic Press, N.Y. (1989), pages 293-303. | MR 1010662

A. Grothendieck, "Esquisse d'un Programme" | Zbl 0901.14001

G.V. Belyi, "On Galois Extensions of a Maximal Cyclotomic Field" Math. USSR Izvestija Vol. 14 (1980) 247-256. | MR 534593 | Zbl 0429.12004

V.A. Voevodsky and G. Shabat, "Equilateral Triangulations of Riemann Surfaces and Curves over Algebraic Number Fields" Soviet Math. Dokl. 39 (1989) 38-41. | MR 988486 | Zbl 0697.14017

G.B. Shabat and V.A. Voevodsky, "Drawing Curves over Number Fields" in "A Grothendieck Festchrift" Birkhausen | Zbl 0790.14026

Dirk-Jan Smit, "Summations over Equilaterally Triangulated Surfaces and the Critical String Measure" Comm. Math. Phys. 143 (1992) 253-285. | MR 1145796 | Zbl 0749.58014

Marston Conder, "Hurwitz Groups: A Brief Survey", Bulletin Am. Math. Soc. (New series) 23 (1990) 359-370. | MR 1041434 | Zbl 0716.20015

H.S.M. Coxeter, W.O.J. Moser, "Generators and Relations for Discrete Groups" (second edition) Springer (1965) Chap.8. | MR 174618 | Zbl 0239.20040

J.P. Serre, "Groupes de Galois sur ℚ", Séminaire Bourbaki, Astérisque 161-162 (1988) 73-85; | Numdam | MR 992203 | Zbl 0684.12009

"Representations Linéaires des Groupes Finis", Hermann, Paris (1967). | Zbl 0926.20003

T.L. Saaty, P.C. Kainen, "The Four Colour Problem" Mc Graw Hill, New York (1977). | MR 480047 | Zbl 0463.05041

G. Ringel, "Map Color Theorem" Springer New York (1974). | MR 349461 | Zbl 0287.05102

J. Wolfart, "Mirror Invariant Triangulations of Riemann Surfaces, Triangle Groups and Grothendieck Dessins: Variations on a Thema of Belyi" Mathematisches Seminar der Universität, Frankfurt (1992).

D. Mumford, "Towards an Enumerative Geometry of the Moduli Space of Curves" in Arithmetics and Geometry Vol.II, Birkhaüser Boston (1983). | MR 717614 | Zbl 0554.14008

"Galois Groups over ℚ", édité par J.P. Serre et Y. Ihara, Puhl. MSRI n°16 (1989) Springer. | MR 1012165

Y. Ihara, "Braids, Galois Groups, and Some Arithmetic Functions", Proceedings of the International Congress of Mathematicians, Kyoto (1990) 99. 120. | MR 1159208 | Zbl 0757.20007

J. Harer, D. Zagier, "The Euler Characteristic of the Moduli Space of Curves", In v. Math. 85 (1986) 457-485. | MR 848681 | Zbl 0616.14017

D. Bessis, C. Itzykson, J.-B. Zuber, "Quantum Field Theory Techniques in Graphical Enumeration", Adv. Appl. Math. 1 (1980) 109-157. | MR 603127 | Zbl 0453.05035

C. Itzykson, J.-B. Zuber, "The Planar Approximation II", J. Math. Phys. 21 (1980) 411-421. | MR 562985 | Zbl 0997.81549

Harish-Chandra, "Differential Operators on a Semi-Simple Lie Algebra", Am. J. Math. 79 (1957) 87-120. | MR 84104 | Zbl 0072.01901

R.C. Penner, "The Decorated Teichmüller Space of Punctured Surfaces" Comm. Math. Phys. 113 (1987) 299-339. | MR 919235 | Zbl 0642.32012

"Perturbative Series and the Moduli Space of Punctured Surfaces", J. Diff. Geom. 27 (1988) 35-53. | MR 918455 | Zbl 0608.30046

E. Witten, "Two Dimensional Gravity and Intersection Theory on Moduli Space" Surveys in Diff. Geom. 1 (1991) 243-310. | MR 1144529 | Zbl 0757.53049

"The N-Matrix Model and Gauged WZW Models" pretirage IAS, HEP-91/26

M. Kontsevich, "Intersection Theory on the Moduli Space of Curves" Fund. Anal, and Appl. 25 (1991) 123-128. | MR 1142208 | Zbl 0742.14021

"Intersection Theory on the Moduli Space of Curves and the Matrix Airy Function", Comm. Math. Phys. 147 (1992) 1-23. | MR 1171758 | Zbl 0756.35081

M. Sato, "Soliton Equations as Dynamical Systems on an Infinite Dimensional Grassmann Manifold" RIMS Kokyuroku 439 (1981) 30-46. | Zbl 0507.58029

"The KP Hierarchy and Infinite Dimensional Grassmann Manifolds" Proc. Symp. Pure Math. 49 (1989) 51-66. | MR 1013125 | Zbl 1224.58005

M. Sato, Y. Sato, "Soliton Equations as Dynamical Systems on an Infinite Dimensional Grassmann Manifold" Lecture Notes in Num. Appl. Anal. 5 (1982) 259-271. | MR 730247 | Zbl 0528.58020

I.M. Gelfand, L.A. Dikii, "Asymptotic Behaviour of the Resolvent of Sturm-Liouville Equations and the Algebra of the Korteweg-De Vries Equations", Russian Math. Surveys 30 (1975) 77-113. | MR 508337 | Zbl 0334.58007

C. Itzykson, J.-B. Zuber. "Matrix Integration and Combinatorics of Modular Groups" Comm. Math. Phys. 134 (1990) 197-207. | MR 1079805 | Zbl 0709.57007

"Combinatorics of the Modular Group II, the Kontsevich Integrals", Int. Journ. Mod. Phys. A7 (1992) 5661-5705. | MR 1180858 | Zbl 0972.14500

P. Di Francesco, C. Itzykson, J.-B. Zuber, "Polynomial Averages in the Kontsevich Model" à paraître dans Comm. Math. Phys. | MR 1201660 | Zbl 0831.14010