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Table des matières de ce fascicule | Article précédent | Article suivant
Bismut, Jean-Michel
Métriques de Quillen et plongements complexes. Séminaire Équations aux dérivées partielles (Polytechnique) (1989-1990), Exposé No. 20, 19 p.
Texte intégral djvu | pdf | Analyses MR 1073195 | Zbl 0706.53037
URL stable: http://www.numdam.org/item?id=SEDP_1989-1990____A22_0
[AS] Atiyah, M.F., Singer Lm.: The index of elliptic operators. III Ann. of Math. 87, 546-604 (1968). MR 236952 | Zbl 0164.24301
[B1] Bismut, J.M.: Superconnection currents and complex immersions. Invent. Math. (1990), 59-113. MR 1029391 | Zbl 0696.58006
[B2] Bismut, J.M.: Koszul complexes, harmonic oscillators and the Todd class. J.A.M.S. 3, 159-256 (1990). MR 1017783 | Zbl 0702.58071
[B3] Bismut, J.M.: The Atiyah-Singer index Theorem: a probabilistic approach. I: The index Theorem. J. Funct. Anal. 57, 56- 99 (1984). MR 744920 | Zbl 0538.58033
[B4] Bismut, J.M.: Superconnexions, indice local des familles, déterminant de la cohomologie et métriques de Quillen. A paraître.
Numdam | Zbl 0755.58009
[BGS1] Bismut, J.M., Gillet, H., Soulé C.: Analytic torsion and holomorphic déterminant bundles. I. Comm. Math. Phys.115, 49-78 (1988).
Article | MR 929146 | Zbl 0651.32017
[BGS2] Bismut J.M., Gillet, H., Soulé, C.: Analytic torsion and holomorphic determinant bundles. II. Comm. Math. Phys.115, 79-126 (1988).
Article | MR 929147 | Zbl 0651.32017
[BGS3] Bismut, J.M., Gillet, H., Soulé, C.: Analytic torsion and holomorphic déterminant bundles. III. Comm. Math. Phys.115, 301-351 (1988).
Article | MR 931666 | Zbl 0651.32017
[BGS4] Bismut, J.M., Gillet, H., Soulé, C.: Bott-Chern currents and complex immersions. Duke Math. Journal 60, 255-284(1990).
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[BL1] Bismut, J.M., Lebeau, G. Immersions complexes et métriques de Quillen. C.R. Acad. Sci. Paris Sér. I. Math 309, 487-491 (1989). MR 1055464 | Zbl 0681.53034
[BL2] Bismut, J.M., Lebeau, G. Complex immersions and Quillen metrics. Preprint Orsay 90-13 (1990).
Numdam | MR 1188532 | Zbl 0784.32010
[BoC] Bott, R., Chern S.S.: Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections. Acta Math. 114. 71-112 (1968). MR 185607 | Zbl 0148.31906
[Ge] Getzler, E.: A short proof of the Atiyah-Singer Index Theorem. Topology 25, 111-117 (1986). MR 836727 | Zbl 0607.58040
[GS] Gillet, H., Soulé, C.: Analytic torsion and the arithmetic Todd genus. A paraître dans Topology. MR 1081932 | Zbl 0787.14005
[GrH] Griffiths, P., Harris, J., Principles of Algebraic Geometry. New-York: Wiley 1978. MR 507725 | Zbl 0836.14001
[KM] Knudsen, F.F., Mumford, D.: The projectivity of the moduli space of stable curves, I: Preliminaries on "det" and "div". Math. Scand. 39, 19-55 (1976). MR 437541 | Zbl 0343.14008
[[Q1] Quillen, D.: Superconnections and the Chem character. Topology, 24, 89-95 (1985). MR 790678 | Zbl 0569.58030
[Q2] Quillen, D.: Determinants of Cauchy-Riemann operators over a Riemann surface. Funct. Anal. Appl. 14, 31-34 (1985). Zbl 0603.32016
[RS] Ray, D.B., Singer,IM.: Analytic torsion for complex manifolds. Ann.of Math.98, 154-177 (1973). MR 383463 | Zbl 0267.32014
[S] Seeley, R.T.: Complex powers of an elliptic operator. Proc. Symp. Pure and Appl. Math. AMS 10, 288-307 (1967). MR 237943 | Zbl 0159.15504
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