]. I. Bi and . Biswas, Parabolic bundles as orbifold bundles, Duke Math, J, vol.88, issue.2, pp.305-325, 1997.

]. I. Bi2 and . Biswas, Chern classes for parabolic bundles, J. Math. Kyoto Univ, vol.37, issue.4, pp.597-613, 1997.

S. Bloch and H. Esnault, Algebraic Chern-Simons theory, Amer Representations of orbifold groups and parabolic bundles, J. Math. Comment. Math. Helv, vol.119, issue.4 3, pp.903-952, 1991.

]. H. Bd-hu, Y. Boden, and . Hu, Variations of moduli of parabolic bundles, Math. Ann, vol.301, issue.3, pp.539-559, 1995.

]. P. De and . Deligne, Equations différentielles a points singuliers reguliers Théorie de Hodge II, De2] P. DeligneDe3] P. Deligne, La conjecture de Weil. II. (French) [Weil's conjecture. II] Inst. HautesÉtudesHautes´HautesÉtudes Sci, pp.5-57, 1970.

]. H. Es and . Esnault, Characteristic classes of flat bundles, Topology, vol.27, issue.3, pp.323-352, 1988.

]. H. Es2 and . Esnault, Recent developments on characteristic classes of flat bundles on complex algebraic manifolds, Jahresber. Deutsch. Math.-Verein, vol.98, issue.4, pp.182-191, 1996.

]. H. Es-vi, E. Esnault, H. Viehweg, E. Esnault, and . Viehweg, Logarithmic De Rham complexes and vanishing theorems Deligne-Beilinson cohomology. in Beilinson's conjectures on special values of L-functions, Es-Vi3] H. Esnault, E. Viehweg, Chern classes of Gauss-Manin bundles of weight 1 vanish, pp.161-194, 1986.

]. H. Gi and . Gillet, Intersection theory on algebraic stacks and Q-varieties, Proceedings of the Luminy conference on algebraic K-theory (Luminy, 1983), J. Pure Appl. Algebra, vol.34, pp.193-240, 1984.

. M. Iis, K. Inaba, M. Iwasaki, and . Saito, Moduli of Stable Parabolic Connections, Riemann-Hilbert correspondence and Geometry of Painlevé equation of type VI, Part I, Preprint math, Quasi-unipotent logarithmic Riemann-Hilbert correspondences, pp.1-66, 2005.

]. J. Iy-si and C. T. Iyer, Simpson A relation between the parabolic Chern characters of the de Rham bundles, arXiv math Log Betti cohomology, logétalelogétale cohomology, and log de Rham cohomology of log schemes over C, Kodai Math, J, issue.2, pp.22-161, 1999.

]. Y. Kaw and . Kawamata, Characterization of abelian varieties, Compositio Math, vol.43, issue.2, pp.253-276, 1981.

]. A. Kr and . Kresch, Cycle groups for Artin stacks, Invent. Math, vol.138, issue.3, pp.495-536, 1999.

]. A. La and . Landman, On the Picard-Lefschetz transformation for algebraic manifolds acquiring general singularities, Trans. Amer. Math. Soc, pp.181-89, 1973.

]. J. Li and . Li, Hermitian-Einstein metrics and Chern number inequalities on parabolic stable bundles over Kähler manifolds, Comm. Anal. Geom, vol.8, issue.3, pp.445-475, 2000.

]. M. Ma-yo, K. Maruyama, and . Yokogawa, Moduli of parabolic stable sheaves, Math. Ann, vol.293, issue.1, pp.77-99, 1992.

]. K. Ma-ol, M. Matsuki, and . Olsson, Kawamata-Viehweg vanishing and Kodaira vanishing for stacks, Math. Res. Lett, vol.12, pp.207-217, 2005.

]. V. Me-se, C. S. Mehta, and . Seshadri, Moduli of vector bundles on curves with parabolic structures, Math. Ann, vol.248, issue.3, pp.205-239, 1980.

]. T. Mo and . Mochizuki, Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules Kobayashi-Hitchin correspondence for tame harmonic bundles and an application, Preprint math, pp.2005-2020

]. D. Mu and . Mumford, Towards an Enumerative Geometry of the Moduli Space of Curves, Arithmetic and geometry A residue formula for Chern classes associated with logarithmic connections, Progr. Math. Birkhäuser Boston Tokyo J. Math, vol.36, issue.5 1, pp.271-328, 1982.

]. D. Pa and . Panov, Doctoral thesis Reznikov, Rationality of secondary classes, J. Differential Geom All regulators of flat bundles are torsion, Ann. of Math, vol.43, issue.32 2, pp.674-692, 1995.

]. W. Sc and . Schmid, Variation of Hodge structure: the singularities of the period mapping, Invent. Math, vol.22, pp.211-319, 1973.

]. C. Se and . Seshadri, Moduli of vector bundles on curves with parabolic structures, Bull. Amer. Math. Soc, vol.83, pp.124-126, 1977.

]. J. St and . Steenbrink, Limits of Hodge structures, Invent. Math, vol.76, pp.31-229, 1975.

]. B. Sr-wr, A. Steer, and . Wren, The Donaldson-Hitchin-Kobayashi correspondence for parabolic bundles over orbifold surfaces. Canad, J. Math, vol.53, issue.6, pp.1309-1339, 2001.

]. M. Th and . Thaddeus, Variation of moduli of parabolic Higgs bundles, J. Reine Angew. Math, vol.547, pp.1-14, 2002.

]. G. Van and . Geer, Cycles on the moduli space of abelian varieties, Moduli of curves and abelian varieties, Vistoli, Intersection theory on algebraic stacks and on their moduli spaces, pp.65-89, 1989.

]. C. Vo and . Voisin, Théorie de Hodge et géométrie algébrique complexe, Cours Spécialisés 10, S.M.F, 2002.