R. Bryant, Surfaces of mean curvature one in hyperbolic space Astérisque 154-155, pp.321-347, 1987.

P. Collin, L. Hauswirth, and H. Rosenberg, The Geometry of Finite Topology Bryant Surfaces, The Annals of Mathematics, vol.153, issue.3, pp.623-659, 2001.
DOI : 10.2307/2661364

B. Daniel, Surfaces de Bryant dans H3 de type fini, Bulletin des Sciences Math??matiques, vol.126, issue.7, pp.581-594, 2002.
DOI : 10.1016/S0007-4497(02)01130-2
URL : http://doi.org/10.1016/s0007-4497(02)01130-2

B. Daniel, Flux for Bryant surfaces and applications to embedded ends of finite total curvature, Illinois J. Math, vol.47, issue.3, pp.667-698, 2003.

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

J. D. Fay, Theta Functions on Riemann Surfaces, Lecture Notes in Mathematics, vol.352, 1973.
DOI : 10.1007/BFb0060090

B. Lawson, Complete Minimal Surfaces in S 3, The Annals of Mathematics, vol.92, issue.3, pp.335-374, 1970.
DOI : 10.2307/1970625

H. Masur, The extension of the Weil-Petersson metric to the boundary of Teichmuller space. Duke Math, J, vol.43, pp.623-635, 1976.

F. Pacard and F. Pimentel, ATTACHING HANDLES TO CONSTANT-MEAN-CURVATURE-1 SURFACES IN HYPERBOLIC 3-SPACE, Journal of the Institute of Mathematics of Jussieu, vol.3, issue.3, pp.421-459, 2004.
DOI : 10.1017/S147474800400012X

H. Rosenberg, Bryant surfaces. The global theory of minimal surfaces in flat spaces (Martina Franca, Lecture Notes in Math. 1775, pp.67-111, 1999.
DOI : 10.1007/978-3-540-45609-4_3
URL : https://hal.archives-ouvertes.fr/hal-00796834

W. Rossman, M. Umehara, and K. Yamada, Irreducible constant mean curvature $1$ surfaces in hyperbolic space with positive genus, Tohoku Mathematical Journal, vol.49, issue.4, pp.449-484, 1997.
DOI : 10.2748/tmj/1178225055

R. Sa, E. , and E. Toubiana, On the geometry of constant mean curvature one surfaces in hyperbolic space, Illinois Journal of Mathematics, vol.45, pp.371-401, 2001.

M. Taylor, Introduction to Differential Equations. Pure and Applied Undergraduate Texts 14, 2011.

G. Teschl, Ordinary differential equations and dynamical systems, Graduate Studies in Mathematics, vol.140, 2010.
DOI : 10.1090/gsm/140
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.304.2428

M. Traizet, Adding handles to Riemann minimal examples, Journal Inst. Math. Jussieu, vol.1, pp.145-174, 2002.

M. Traizet, An Embedded Minimal Surface with no Symmetries, Journal of Differential Geometry, vol.60, issue.1, pp.103-153, 2002.
DOI : 10.4310/jdg/1090351085

M. Traizet, On the genus of triply periodic minimal surfaces, Journal of Differential Geometry, vol.79, issue.2, pp.243-275, 2008.
DOI : 10.4310/jdg/1211512641
URL : https://hal.archives-ouvertes.fr/hal-00281610

M. Traizet, Opening infinitely many nodes, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2013, issue.684, pp.165-186, 2013.
DOI : 10.1515/crelle-2011-0007
URL : https://hal.archives-ouvertes.fr/hal-00785186

M. Umehara and K. Yamada, A parametrization of the Weierstrass formulae and perturbation of complete minimal surfaces in R 3 into the hyperbolic 3-space, J. reine angew. Math, vol.432, pp.93-116, 1992.

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

M. Umehara and K. Yamada, A duality on CMC-1 surfaces in hyperbolic space and a hyperbolic analogue of the Osserman inequality, Tsukaba J. Math, vol.21, pp.229-237, 1997.