J. W. Anderson, . Hyperbolic, and . Geometry, Undergraduate mathematics series, 1999.

D. Au-]-auroux, Fiber sums of genus 2 Lefschetz fibrations, Turkish J. Math, vol.27, issue.1, pp.1-10, 2003.

B. Bb-]-bertrand and E. , Brugallé A Viro theorem without convexity hypothesis for trigonal curves. arXiv: math/0602198v2[math

E. Brugallé, Courbes algébrique réelles et courbes pseudoholomorphes réelles dans les surfaces réglées

H. Davenport, The higher arithmetic: An introduction to the theory of numbers. Hutchinson's University Library, 1952.
DOI : 10.1017/CBO9780511818097

A. V. Degtrayev and . Kharlamov, Topological properties of real algebraic varieties: Du cote de chez Rokhlin. arXiv: math./0004134v1[math

A. Degtrayev, I. Itenberg, and V. Kharlamov, On Deformation types of real elliptic surfaces

C. J. Earle and J. , A fibre bundle description of Teichm??ller theory, Journal of Differential Geometry, vol.3, issue.1-2, pp.19-43, 1969.
DOI : 10.4310/jdg/1214428816

C. J. Es-]-earle and A. , Teichm??ller theory for surfaces with boundary, Journal of Differential Geometry, vol.4, issue.2, pp.169-185, 1970.
DOI : 10.4310/jdg/1214429381

. Bibliography, S. V. Fk-]-finashin, and . Kharlamov, Deformation Classes of Real Four-dimensional Cubic Hypersurfaces. ArXiv: math/0607137v1[math

R. J. Fm-]-friedman, Morgan Smooth four-manifolds and complex surfaces

[. Fuller and T. , Lefschetz pencils of 4-dimensional manifolds. Cubo A Mathematical Journal, pp.5-8, 2003.

R. E. Gs-]-gompf and A. I. , Stipsicz 4-manifols and Kirby calculus

R. E. Gompf, Sums of elliptic surfaces, Journal of Differential Geometry, vol.34, issue.1, pp.93-114, 1991.
DOI : 10.4310/jdg/1214446992

R. E. Gompf, Nuclei of elliptic surfaces, Topology, vol.30, issue.3, pp.479-511, 1991.
DOI : 10.1016/0040-9383(91)90027-2

. Gr and P. A. Griffiths, Periods of integrals on algebraic manifolds II, Local study of the period mapping, Amer. J. Math, vol.90, pp.805-865, 1968.

M. E. Hamstrom, Homotopy groups of the space of homeomorphisms on a 2- manifold, Illinois J. Math, vol.10, pp.563-573, 1966.

M. E. Hamstrom, Homotopy properties of the space of homeomorphisms on P 2 and the Klein bottle, Trans. Amer. Math. Soc, vol.120, pp.37-45, 1965.

M. E. Hamstrom, A note on homotopy in homeomorphism spaces, Illinois J. Math, vol.9, pp.602-607, 1965.

. Hm1 and M. E. Hamstrom, The space of homeomorphisms on a torus, Illinois J. Math, vol.9, pp.59-65, 1965.

. Hw, G. Hardy, and E. M. Wright, An introduction to the theory of numbers, 1975.

A. Hatcher, Notes on basic 3-manifold topology

I. Io-]-itenberg and O. , Patchworking algebraic curves disproves the ragsdale conjecture, The Mathematical Intelligencer, vol.1, issue.4, pp.19-28, 1996.
DOI : 10.1007/BF03026748

N. Bibliography-[-i-]-ivanov, Mapping class groups. Handbook of Geometric Topology

[. Kas and A. , On the handlebody decomposition associated to a Lefschetz fibration, Pacific Journal of Mathematics, vol.89, issue.1, pp.89-104, 1980.
DOI : 10.2140/pjm.1980.89.89

V. Krv-]-kharlamov, V. Rokhlin, and O. Viro, Topological properties of real plane algebraic curves

V. Kharlamov, Overview of topological properties of real algebraic surfaces
DOI : 10.1007/978-3-540-33275-6_7

URL : https://hal.archives-ouvertes.fr/hal-00112305

V. Kharlamov, Classification of nonsingular surfaces of degree 4 in RP 3 with respect to rigid isotopies, Functional Analysis and Its Applications, vol.87, issue.1, pp.49-56, 1984.
DOI : 10.1007/BF01076360

. Li and W. B. Lickorish, Homeomorphism of non-orientable two-manifolds, Proc. Camb. Phil.Soc. 59, pp.307-317, 1963.

Y. Matsumoto, LEFSCHETZ FIBRATIONS OF GENUS TWO - A TOPOLOGICAL APPROACH, Topology and Teichm??ller Spaces
DOI : 10.1142/9789814503921_0008

. Mcp, J. D. Mccarthy, and U. , Pinkall Representing Homology automorphisms of nonorientable surfaces. Max Planck Inst. preprint MPI, pp.85-96

B. Mo-]-moishezon, Complex surfaces and connected sums of complex projective planes. Lecture notes in Math, 1977.

S. Orevkov and . Yu, LINK THEORY AND OVAL ARRANGEMENTS OF REAL ALGEBRAIC CURVES, Topology, vol.38, issue.4, pp.779-810, 1999.
DOI : 10.1016/S0040-9383(98)00021-4

S. Orevkov and . Yu, Riemann existence theorem and construction of real algebraic curves, Annales de la facult?? des sciences de Toulouse Math??matiques, vol.12, issue.4, pp.517-531, 2003.
DOI : 10.5802/afst.1060

. Bibliography, B. Ozbagci, and A. Stipsicz, Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations, Proc. Amer, pp.3125-3128, 2000.

C. Series, The geometry of markoff numbers, The Mathematical Intelligencer, vol.6, issue.7, pp.20-29, 1985.
DOI : 10.1007/BF03025802

C. Series, On coding geodesic with continued fractions, Monograph. Enseign. Math, vol.29, pp.67-76, 1980.

. Si and R. Silhol, Real algebraic surfaces, Lecture notes in Math, vol.1392, 1989.

. Sm and I. Smith, Geometric monodromy and the hyperbolic disk, Quarterly J. Math, vol.52, pp.217-228, 2001.

. St and A. Stipsicz, Indecomposability of certain Lefschetz fibrations, Proc. Amer, pp.1499-1502, 2001.

[. Rudolph and L. , Algebraic functions and closed braids, Topology, vol.22, issue.2, pp.191-202, 1983.
DOI : 10.1016/0040-9383(83)90031-9

URL : http://doi.org/10.1016/0040-9383(83)90031-9

T. Yagasaki, Homotopy types of diffeomorphism groups of noncompact 2- manifolds, Arxiv: math/0109183v1, 2001.