@article{IM2_1990_35_1_a3,
author = {P. G. Zograf and L. A. Takhtadzhyan},
title = {On the geometry of moduli spaces of vector bundles over {a~Riemann} surface},
journal = {Izvestiya. Mathematics},
pages = {83--100},
year = {1990},
volume = {35},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1990_35_1_a3/}
}
P. G. Zograf; L. A. Takhtadzhyan. On the geometry of moduli spaces of vector bundles over a Riemann surface. Izvestiya. Mathematics, Tome 35 (1990) no. 1, pp. 83-100. http://geodesic.mathdoc.fr/item/IM2_1990_35_1_a3/
[1] Narasimhan M. S., Seshadri C. S., “Stable and unitary vector bundles on a compact Riemann surface”, Ann. of Math., 82:3 (1965), 540–567 | DOI | MR | Zbl
[2] Atiyah M. F., Bott R., “The Yang–Mills equations over Riemann surfaces”, Phil. Trans. R. Soc. London, A308 (1982), 523–615 | MR
[3] Zograf P. G., Takhtadzhyan L. A., “O svyaznosti Narasimkhana–Seshadri i kelerovoi strukture prostranstva modulei golomorfnykh vektornykh rassloenii nad rimanovymi poverkhnostyami”, Funkts. analiz i ego prilozh., 20:3 (1986), 84–85 | MR | Zbl
[4] Ivanov N. V., “Proektivnye struktury, ploskie rassloeniya i kelerovy metriki na prostranstvakh modulei”, Matem. sb., 133(175):2(6) (1987), 208–222 | MR
[5] Zograf P. G., Takhtadzhyan L. A., “Ob uniformizatsii rimanovykh poverkhnostei i metrike Veilya–Petersona na prostranstvakh Teikhmyullera i Shottki”, Matem. sb., 132:3 (1987), 304–321 | MR | Zbl
[6] Kvillen D., “Determinanty operatorov Koshi–Rimana na rimanovykh poverkhnostyakh”, Funkts. analiz i ego prilozh., 19:1 (1985), 37–41 | MR
[7] Bost J.-B., “Fibrés déterminants, déterminants régularises et mesures sur les espaces de modules de courbes complexes”, Séminaire Bourbaki, no. 676, 1986–1987
[8] Bismut J.-M., Freed D., “The analysis of elliptic families, I. Metrics and connections on determinant bundles”, Comm. Math. Phys., 106 (1986), 159–176 | DOI | MR | Zbl
[9] Gillet H., Soulé C., “Direct images of hermitian holomorphic bundles”, Bull. AMS, 15:2 (1986), 209–212 | DOI | MR | Zbl
[10] Zograf P. G., Takhtadzhyan L. A., “Lokalnaya teorema ob indekse dlya semeistva $\overline\partial$-operatorov na rimanovykh poverkhnostyakh”, UMN, 42:6 (1987), 133–150 | MR | Zbl
[11] Wolpert S., “Chern forms and the Riemann tensor for the moduli space of curves”, Inv. Math., 85:1 (1986), 119–145 | DOI | MR | Zbl
[12] Zograf P. G., Takhtadzhyan L. A., O geometrii prostranstv modulei vektornykh rassloenii nad rimanovoi poverkhnostyu, Preprint R-5-87, LOMI, L., 1987 | MR
[13] Donaldson S., “A new proff of a theorem of Narasimhan and Seshadri”, J. Diff. Geometry, 18 (1983), 269–277 | MR | Zbl
[14] Shvarts A. S., “Ellipticheskie operatory v kvantovoi teorii polya”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat., 17, VINITI, M., 1981, 113–173
[15] Hejhal D., “The Selberg trace formula for $PSL(2,\mathbf{R})$, I”, Lect. Notes Math., 548, 1976 | MR | Zbl
[16] Kodaira K., Complex manifolds and deformation of complex structures, Springer-Verlag, N.Y., 1986 | MR | Zbl
[17] Narasimhan M. S., Seshadri C. S., “Holomorphic vector bundles on a compact Riemann surface”, Math. Ann., 155 (1964), 69–80 | DOI | MR | Zbl
[18] Narasimhan M. S., “Elliptic operators and differential geometry of moduli spaces of vector bundles on compact Riemann surfaces”, Proceedings of the International conference on functional analysis and related topics, Tokyo, 1969, 68–71 | MR
[19] Tyurin A. N., “Geometriya modulei vektornykh rassloenii”, UMN, 29:6 (1974), 59–88 | MR | Zbl
[20] Newstead P. E., “A non-existence theorem for families of stable bundles”, J. London Math. Soc., 6 (1973), 259–266 | DOI | MR | Zbl
[21] Ramanan S., “The moduli spaces of vector bundles over an algebraic curve”, Math. Ann., 200 (1973), 69–84 | DOI | MR | Zbl
[22] Atiyah M. F., Singer I. M., “The index of elliptic operators, IV”, Ann. of Math., 93 (1971), 119–138 | DOI | MR | Zbl