Geodesic
Connections on a Parabolic Principal Bundle Over a Curve
Canadian journal of mathematics, Tome 58 (2006) no. 2, pp. 262-281

Voir la notice de l'article provenant de la source Cambridge University Press

The aim here is to define connections on a parabolic principal bundle. Some applications are given.
DOI : 10.4153/CJM-2006-011-4
Mots-clés : 53C07, 32L05, 14F05, Parabolic bundle, holomorphic connection, unitary connection 
Biswas, Indranil. Connections on a Parabolic Principal Bundle Over a Curve. Canadian journal of mathematics, Tome 58 (2006) no. 2, pp. 262-281. doi: 10.4153/CJM-2006-011-4
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[At] Atiyah, M. F. Complex analytic connections in fibre bundles., Trans. Amer. Math. Soc. 85 (1957), 181–207. Google Scholar

[AB] Azad, H. and Biswas, I., On holomorphic principal bundles over a compact Riemann surface admitting a flat connection Math. Ann. 322(2002), no. 2, 333–346. Google Scholar

[BBN1] Balaji, V., Biswas, I., and Nagaraj, D. S. Principal bundles over projective manifolds with parabolic structure over a divisor. Tôhoku Math. J. 53(2001), no. 3, 337–367. Google Scholar

[BBN2] Balaji, V., Biswas, I., and Nagaraj, D. S., Ramified G-bundles as parabolic bundles. J. Ramanujan Math. Soc. 18(2003), 123–138. Google Scholar

[Bi] Biswas, I., Parabolic bundles as orbifold bundles. Duke Math. J. 88(1997), no. 2, 305–325. Google Scholar

[BP] Biswas, I. and Parameswaran, A. J. On the equivariant reduction of structure group of a principal bundle to a Levi subgroup. J. Math. Pures Appl. (to appear). Google Scholar

[Bo] Borel, A., Linear Algebraic Groups. Second edition. Graduate Texts in Mathematics 126, Springer-Verlag, New York, 1991. Google Scholar

[Ko] Kobayashi, S., Differential Geometry of Complex Vector Bundles, Publications of the Mathematical Society of Japan 15, Iwanami Shoten Publishers, Tokyo and Princeton University Press, Princeton, NJ, 1987. Google Scholar

[KN] Kobayashi, S. and Nomizu, K., Foundations of Differential Geometry. Vol. I, Interscience Publishers, New York, 1963. Google Scholar

[MY] Maruyama, M. and Yokogawa, K., Moduli of parabolic stable sheaves. Math. Ann. 293(1992), no. 1, 77–99. Google Scholar

[MS] Mehta, V. B. and Seshadri, C. S. Moduli of vector bundles on curves with parabolic structures. Math. Ann. 248(1980), no. 3, 205–239. Google Scholar

[No1] Nori, M. V., On the representations of the fundamental group. Compositio Math. 33(1976), no. 1, 29–41. Google Scholar

[No2] Nori, M. V., The fundamental group-scheme. Proc. Ind. Acad. Sci. Math. Sci. 91(1982), no. 2, 73–122. Google Scholar

[Ra] Ramanathan, A., Stable principal bundles on a compact Riemann surface. Math. Ann. 213(1975), 129–152. Google Scholar

[RS] Ramanathan, A. and Subramanian, S., Einstein–Hermitian connections on principal bundles and stability. J. Reine Angew. Math. 390(1988), 21–31. Google Scholar

[We] Weil, A., Généralisation des fonctions abéliennes, J. Math. Pures Appl. 17(1938), 47–87. Google Scholar

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