D. V. Anosov and A. A. , Bolibruch : The Riemann-Hilbert problem, Aspects of Mathematics E22. Friedr. Vieweg & Sohn, 1994.

A. Beauville, Monodromie des systèmes différentiels linéaires à pôles simples sur la sphère de Riemann (d'après A. Bolibruch) Astérisque, Séminaire Bourbaki, vol.4, issue.216 765, pp.103-11993, 1992.

G. Birkhoff, The generalized Hilbert problem for linear differential equations and the allied problems for linear difference and q-difference equations, Proc. Amer. Acad, pp.521-568, 1913.

]. A. Bol90, Bolibruch : Construction of a fuchsian equation from a monodromy representation, Math. Notes of Ac. of Sci. of USSR, vol.48, issue.5, pp.1090-1099, 1990.

F. Burstall, F. Pedit, and U. Pinkall, Schwarzian derivatives and flows of surfaces, Differential geometry and integrable systems, pp.39-61, 2000.
DOI : 10.1090/conm/308/05311

B. Daniel, Minimal disks bounded by three straight lines in Euclidean space and trinoids in hyperbolic space, Journal of Differential Geometry, vol.72, issue.3, pp.467-508, 2006.
DOI : 10.4310/jdg/1143593747

G. Darboux, Leçons sur la théorie générale des surfaces, Livre 3. Gauthier-Villars, pp.1887-89

J. Douglas, Solution of the problem of, Plateau. Trans. Amer. Math. Soc, vol.33, 1931.

J. Dorfmeister and H. Wu, Construction of constant mean curvature n-noids from holomorphic potentials, Mathematische Zeitschrift, vol.25, issue.4, pp.773-803, 2008.
DOI : 10.1007/s00209-007-0197-1

R. Garnier, Sur des ??quations diff??rentielles du troisi??me ordre dont l'int??grale g??n??rale est uniforme et sur une classe d'??quations nouvelles d'ordre sup??rieur dont l'int??grale g??n??rale a ses points critiques fixes, Annales scientifiques de l'??cole normale sup??rieure, vol.29, issue.29, pp.1-126, 1912.
DOI : 10.24033/asens.644

R. Garnier, Solutions du problème de Riemann pour les systèmes différentiels du second ordre. Annales scientifiques de l'É, N.S, vol.3, issue.43, pp.177-307, 1926.

R. Garnier, Le problème de Plateau Annales scientifiques de l'É, N.S, vol.3, issue.45, pp.53-144, 1928.

R. Garnier, . Sur-un-théorème-de, and . Schwarz, Sur un th??or??me de Schwarz, Commentarii Mathematici Helvetici, vol.25, issue.1, pp.140-172, 1951.
DOI : 10.1007/BF02566451

[. Garnier, Sur le problème de Plateau pour les quadrilatères gauches ayant un sommet à l'infini, J. Math. Pures Appl, vol.41, issue.9, pp.241-271, 1962.

R. Garnier, Sur le probl??me de Plateau pour un quadrilat??re variable qui peut acqu??rir un point double, Annali di Matematica Pura ed Applicata, Series 4, vol.6, issue.1, pp.1-34, 1962.
DOI : 10.1007/BF02413042

P. Hartman, Ordinary differential equations, 1964.

K. Iwasaki, H. Kimura, S. Shimomura, and M. Yoshida, From Gauss to Painlevé, Aspects of Mathematics E16. Friedr. Vieweg & Sohn, vol.16, 1991.
DOI : 10.1007/978-3-322-90163-7

M. Jimbo, Monodromy problem and the boundary condition for some Painlev?? equations, Publications of the Research Institute for Mathematical Sciences, vol.18, issue.3, pp.1137-1161, 1982.
DOI : 10.2977/prims/1195183300

B. Malgrange, Sur les déformations isomonodromiques. I. Singularités régulières, Mathematics and physics, pp.401-426, 1979.

T. Miwa, Painlev?? property of monodromy preserving deformation equations and the analyticity of {$\tau $} functions, Publications of the Research Institute for Mathematical Sciences, vol.17, issue.2, pp.703-721, 1981.
DOI : 10.2977/prims/1195185270

M. Ohtsuki, On the Number of Apparent Singularities of a Linear Differential Equation, Tokyo Journal of Mathematics, vol.05, issue.1, pp.23-29, 1982.
DOI : 10.3836/tjm/1270215031

K. Okamoto, Isomonodromic deformations and Painlevé equations, and the Garnier system, J. Fac. Sci. Univ. Tokyo Sect. IA Math, vol.33, pp.575-618, 1986.

J. Plemelj, Riemannsche Funktionenscharen mit gegebener Monodromiegruppe, Monatshefte f??r Mathematik und Physik, vol.19, issue.1, pp.211-245, 1908.
DOI : 10.1007/BF01736697

H. Poincaré, Sur les groupes des ??quations lin??aires, Acta Mathematica, vol.4, issue.0, pp.201-312
DOI : 10.1007/BF02418420

J. Pérez and A. Ros, The space of properly embedded minimal surfaces with finite total curvature, Indiana Univ. Math. J, vol.45, issue.1, pp.177-204, 1996.

J. Pérez and A. Ros, The space of complete minimal surfaces with finite total curvature as Lagrangian submanifold, Transactions of the American Mathematical Society, vol.351, issue.10, pp.3935-3952, 1999.
DOI : 10.1090/S0002-9947-99-02250-3

T. Radó, On Plateau's Problem, Rie98] Bernhard Riemann : Oeuvres mathématiques. Gauthier-Villars, pp.457-469, 1930.
DOI : 10.2307/1968237

H. Schwarz, Fortgesetzte Untersuchungen über specielle Minimalflächen, Monatsberichte der Königl. Akad. der Wiss. zu Berlin, pp.3-27, 1872.
DOI : 10.1007/978-3-642-50665-9_4

M. Sato, T. Miwa, and M. Jimbo, Holonomic quantum fields. II. The Riemann-Hilbert problem, Publications of the Research Institute for Mathematical Sciences, vol.15, issue.1, pp.201-278, 1979.
DOI : 10.2977/prims/1195188429

M. Umehara and K. Yamada, Complete Surfaces of Constant Mean Curvature-1 in the Hyperbolic 3-space, The Annals of Mathematics, vol.137, issue.3, pp.611-638, 1993.
DOI : 10.2307/2946533

K. Weierstrass, Über die Flächen deren mittlere Krümmung überall gleich null ist, Monatsberichte der Königl. Akad. der Wiss. zu Berlin, p.855, 1866.

K. Weierstrass, Mathematische Werke, volume III, 1903.