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Biswas, Indranil; Gómez, Tomás L.; Logares, Marina. Integrable Systems and Torelli Theorems for the Moduli Spaces of Parabolic Bundles and Parabolic Higgs Bundles. Canadian journal of mathematics, Tome 68 (2016) no. 3, pp. 504-520. doi: 10.4153/CJM-2015-039-5
@article{10_4153_CJM_2015_039_5,
author = {Biswas, Indranil and G\'omez, Tom\'as L. and Logares, Marina},
title = {Integrable {Systems} and {Torelli} {Theorems} for the {Moduli} {Spaces} of {Parabolic} {Bundles} and {Parabolic} {Higgs} {Bundles}},
journal = {Canadian journal of mathematics},
pages = {504--520},
year = {2016},
volume = {68},
number = {3},
doi = {10.4153/CJM-2015-039-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2015-039-5/}
}
TY - JOUR AU - Biswas, Indranil AU - Gómez, Tomás L. AU - Logares, Marina TI - Integrable Systems and Torelli Theorems for the Moduli Spaces of Parabolic Bundles and Parabolic Higgs Bundles JO - Canadian journal of mathematics PY - 2016 SP - 504 EP - 520 VL - 68 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2015-039-5/ DO - 10.4153/CJM-2015-039-5 ID - 10_4153_CJM_2015_039_5 ER -
%0 Journal Article %A Biswas, Indranil %A Gómez, Tomás L. %A Logares, Marina %T Integrable Systems and Torelli Theorems for the Moduli Spaces of Parabolic Bundles and Parabolic Higgs Bundles %J Canadian journal of mathematics %D 2016 %P 504-520 %V 68 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2015-039-5/ %R 10.4153/CJM-2015-039-5 %F 10_4153_CJM_2015_039_5
[AB]Atiyah, M. F. and Bott, R., The Yang-Mills equations over Riemann surfaces. Phil. Trans. R. Soc.London 308(1982) 523–615. Google Scholar | DOI
[BBB]Balaji, V., del Bao, S., and Biswas, I., A Torelli type theorem for the moduli space of parabolic vector bundles over curves. Math. Proc. Cambridge Philos. Soc. 130(2001), 269–280. Google Scholar | DOI
[BG]Biswas, I. and Gómez, T. L., A Torelli theorem for the moduli space of Higgs bundles on a curve. Quart. Jour. Math. 54(2003),159–169. Google Scholar | DOI
[BGL]Biswas, I., Gothen, P. B., andLogares, M. , On moduli spaces of Hitchin pairs. Math. Proc. Cambridge Philos. Soc. 151(2011),441–457. Google Scholar | DOI
[BHK]Biswas, I., Holla, Y., and Kumar, C., On moduli spaces of parabolic vector bundles of rank 2 over CP1. Michigan Math.Jour.59.(2010), 467–479. Google Scholar | DOI
[BNR]Beauville, A., Narasimhan, M. S. and Ramanan, S., Spectral curves and the generalized theta divisor. J. reine angew. Math. 398(1989), 169–179. Google Scholar
[CRS]Ciliberto, C., Ribenboim, P., andSernesi, E., Collected papers of Ruggiero Torelli,. Queen's Papers in Pure and Applied Mathematics, 101. Queen's University, Kingston, 1995 Google Scholar
[GGM]García–Prada, O., Gothen, P. B., and Muñoz, V., Betti numbers for the moduli space of rank 3 parabolic Higgs bundles. Mem. Amer. Math. Soc. 187(2007), no.879. Google Scholar
[GLM]O. García-Prada, ,Logares, M., and Muñoz, V.,Moduli spaces of parabolic U(p, q)-Higgs bundles. Quart. Jour. Math. 60(2009), 183–233. Google Scholar | DOI
[GL] Gómez, T. L. and Logares, M., Torelli theorem for the moduli space of parabolic Higgs bundles. Adv. Geom.11(2011),429–444. Google Scholar
[Har]Hartshorne, R., Algebraic geometry. Graduate Texts in Mathematics, No. 52. Springer-Verlag, New York, 1997. Google Scholar
[Hau] Hausel, T., Compactiûcation of the moduli of Higgs bundles. J. Reine Angew. Math. 503(1998),169–192. Google Scholar
[Hi] Hitchin, N.J., Stable bundles and integrable systems. Duke Math.J..(1987),91–114. Google Scholar | DOI
[Hu] Hurtubise, J. C., Integrable systems and algebraic surfaces. Duke Math. J. 83(1996),19–49. Google Scholar | DOI
[Ki] Kirwan, F. C., Cohomology of quotients in symplectic and algebraic geometry. Mathematical Notes 31, Princeton University Press,1984. Google Scholar
[KM] Knudsen, F. and Mumford, D., The projectivity of the moduli space of stable curves I: preliminaries on “det” and “div”.Math. Scand. 39(1976), 19–55. Google Scholar
[LM]Logares, M. and Martens, J., Moduli of parabolic Higgs bundles and Atiyah algebroids. J. reine angew. Math. 649(2010),89–116. Google Scholar
[MN] Mumford, D. and Newstead, P., Periods of a modulispace of bundles on curves Amer. Jour. Math. 90(1968),1200–1208. Google Scholar | DOI
[Ni] Nitsure, N., Cohomology of the moduli of parabolic vector bundles. Proc. Indian Acad. Sci, (Math. Sci.) 95(1986),61–77. Google Scholar | DOI
[NR] Narasimhan, M. S.and Ramanan, S., Deformations of the moduli space of vector bundles over an algebraic curve. Ann. Math.101(1975),391–417. Google Scholar | DOI
[Seb] Sebastian, R., Torelli theorems for moduli of logarithmic connections and parabolic bundles. Manuscr. Math. 136(2011),249–271. Google Scholar | DOI
[Ses] Seshadri, C.S., Fibrés vectorieles sur les courbes algébriques. Asterisque 96,1982. Google Scholar
[Si] Simpson, C.,Harmonic bundles on non compact curves, Jour. Amer. Math. Soc. 3(1990),713–770. Google Scholar | DOI
[Tj] Tjurin, A. N., An analogue of the Torelli theorem for two-dimensional bundles over an algebraic curve of arbitrary genus. Izv. Akad. Nauk SSSR Ser. Mat.33(1969),1149–170. Google Scholar
[We] Weil, A., Zum beweis des Torelli satzes. Wiss, Nachr.Akad.. Göttingen Math.-Phys. Kl. II 2(1957)33–53 Google Scholar
[Yo]Yokogawa, K.,Infinitesimal deformation of parabolic Higgs sheaves. Inter. Jour. Math. 6(1995),125–148. Google Scholar | DOI
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