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Table des matières de ce fascicule Bismut, Jean-Michel; Lebeau, Gilles Complex immersions and Quillen metrics. Publications Mathématiques de l'IHÉS, 74 (1991), p. 1-298 Texte intégral djvu | pdf | Analyses MR 94a:58205 | Zbl 0784.32010 | 11 citations dans Numdam URL stable: http://www.numdam.org/item?id=PMIHES_1991__74__1_0 Bibliographie Article | MR 88j:81061 | Zbl 0647.14019 [Ar] ARAKELOV S., Intersection theory of divisors on an arithmetic surface, Izv. Akad. Nauk SSSR., Ser. Mat., 38 ( [ABo] ATIYAH M. F., BOTT R, A Lefschetz fixed point formula for elliptic complexes, I, Ann. Math., 86 ( [ABoP] ATIYAH M. F., BOTT R., PATODI V. K., On the heat equation and the Index Theorem, Invent. Math., 19 ( [AS] ATIYAH M. F., SINGER I. M., The index of elliptic operators, III, Ann. of Math., 87 ( [BaFM] BAUM P., FULTON W., MACPHERSON R., Riemann-Roch for singular varieties, Publ. Math. IHES, 45 ( Numdam | MR 54 #317 | Zbl 0332.14003 [BeV] BERLINE N., VERGNE M., A proof of Bismut local index theorem for a family of Dirac operators, Topology, 26 ( [B1] BISMUT J. M., The index Theorem for families of Dirac operators : two heat equation proofs, Invent. Math., 83 ( [B2] BISMUT J. M., Superconnection currents and complex immersions, Invent. Math., 99 ( [B3] BISMUT J. M., Koszul complexes, harmonic oscillators and the Todd class, J.A.M.S., 3 ( [B4] BISMUT J. M., Large deviations and the Malliavin calculus, Prog. Math. n° 45, Basel-Boston-Stuttgart, Birkhäuser, [B5] BISMUT J. M., The Atiyah-Singer Index Theorems : a probabilistic approach, I, J. Funct. Anal., 57 ( [B6] BISMUT J. M., Demailly's asymptotic Morse inequalities : a heat equation proof, J. Funct. Anal., 72 ( [B7] BISMUT J. M., The Witten complex and the degenerate Morse inequalities, J. of Diff. Geom., 23 ( [BGS1] BISMUT J. M., GILLET H., SOULÉ C., Analytic torsion and holomorphic determinant bundles, I, Comm. Math. Phys., 115 ( Article | MR 89g:58192a | Zbl 0651.32017 [BGS2] BISMUT J. M., GILLET H., SOULÉ C., Analytic torsion and holomorphic determinant bundles, II, Comm. Math. Phys., 115 ( Article | MR 89g:58192b | Zbl 0651.32017 [BGS3] BISMUT J. M., GILLET H., SOULÉ C., Analytic torsion and holomorphic determinant bundles, III, Comm. Math. Phys., 115 ( Article | MR 89g:58192c | Zbl 0651.32017 [BGS4] BISMUT J. M., GILLET H., SOULÉ C., Bott-Chern currents and complex immersions. Duke Math. Journal, 60 ( Article | MR 91d:58239 | Zbl 0697.58005 [BGS5] BISMUT J. M., GILLET H., SOULÉ C., Complex immersions and Arakelov geometry, The Grothendieck Festschrift, P. Cartier and al. ed., pp. 249-331. Prog. Math. n° 86, Boston-Basel-Berlin, Birkhaüser, [BL] BISMUT J. M., LEBEAU G., Immersions complexes et métriques de Quillen. C.R. Acad. Sci. Paris, 309, Série I ( [BoC] BOTT R., CHERN S. S., Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections, Acta Math., 114 ( [CP] CHAZARAIN J., PIRIOU A., Introduction à la théorie des équations aux dérivées partielles linéaires, Paris, Gauthier-Villars, [Ch] CHEEGER J., Analytic torsion and the heat equation, Ann. of Math., 109 ( [De] DELIGNE P., Le déterminant de la cohomologie, Contemporary mathematics, 67 ( [Do] DONALDSON S., Anti-self dual Yang-Mills connections over complex algebraic surfaces and stable vector bundles, Proc. London Math. Soc., 50 ( [Dy] DYNKIN E. B., Diffusion of tensors, Soviet Math Doklady, 9 ( [E] EILENBERG S., Homological dimension and local syzygies, Ann. of Math., 64 ( [F] FALTINGS G., Calculus on arithmetic surfaces, Ann. of Math., 119 ( [Ge] GETZLER E, A short proof of the Atiyah-Singer Index Theorem, Topology, 25 ( [GS1] GILLET H., SOULÉ C., Arithmetic Intersection Theory, Publ. Math. IHES, 72 ( Numdam | MR 92d:14016 | Zbl 0741.14012 [GS2] GILLET H., SOULÉ C., Characteristic classes for algebraic vector bundles with Hermitian metric, Ann. of Math., I, 131 ( [GS3] GILLET H., SOULÉ C., Analytic torsion and the arithmetic Todd genus. Topology, 30 ( [GS4] GILLET H., SOULÉ C., Un théorème de Rieman-Roch-Grothendieck arithmétique. C.R. Acad. Sci. Paris, 309, Série I ( [GlJ] GLIMM J., JAFFE A., Quantum physics, Berlin, Heidelberg, New York, Springer, [GrH] GRIFFITHS P., HARRIS J., Principles of algebraic geometry, New York, Wiley, [HeSj1] HELFFER B., SJÖSTRAND J., Puits multiples en limite semi-classique. IV, Étude du complexe de Witten, Comm. in P.D.E., 10 ( [HeSj2] HELFFER B., SJÖSTRAND J., Puits multiples en limite semi-classique. VI, Cas des puits sous-variétés, Ann. Inst. H. Poincaré, 46 ( Numdam | Zbl 0648.35027 [HeSj3] HELFFER B., SJÖSTRAND J., A proof of the Bott inequalities, in Algebraic Analysis, Vol. I, M. Kashiwara, T. Kawai ed., New York, Academic Press, [H] HIRZEBRUCH F., Arithmetic genera and the theorem of Riemann-Roch for algebraic varieties. Proc. Natl. Acad. Sci., USA, 40 ( [Hi] HITCHIN N. J., Harmonic spinors. Adv. in Math., 14 ( [I] ITÔ K., Stochastic parallel displacement, in Probabilistic methods in differential equations, Lecture Notes in Mathematics n° 45, Berlin, Heidelberg, New York, Springer, [KnM] KNUDSEN F. F., MUMFORD D., The projectivity of the moduli space of stable curves, I, Preliminaries on "det" and "div", Math. Scand., 39 ( [K] KOBAYASHI S., Differential geometry of complex vector bundles, Iwanami Shoten and Princeton University Press, [KN] KOBAYASHI S., NOMIZU K., Foundations of differential geometry, II, New York, Interscience, [La] LANG S., Introduction to Arakelov theory, Berlin, Heidelberg, New York, Springer, [Li] LICHNEROWICZ A., Spineurs harmoniques, C.R. Acad. Sci. Paris, Série A, 257 ( [MKS] MCKEAN H., SINGER I. M., Curvature and the eigenvalues of the Laplacian, J. of Diff. Geom., 1 ( [Mü] MÜLLER W., Analytic torsion and R. torsion of Riemannian manifolds, Adv. in Math., 28 ( [Q1] QUILLEN D., Superconnections and the Chern character, Topology, 24 ( [Q2] QUILLEN D., Determinants of Cauchy-Riemann operators over a Riemann surface, Funct. Anal. Appl., 14 ( [RS1] RAY D. B., SINGER I. M., R.torsion and the Laplacian on Riemannian manifolds, Adv. in Math., 7 ( [RS2] RAY D. B., SINGER I. M., Analytic torsion for complex manifolds, Ann. of Math., 98 ( [ReSi] REED M., SIMON B., Methods of modern mathematical physics, Vol. I, Functional Analysis, New York, Academic Press, [Se] SEELEY R. T., Complex powers of an elliptic operator. Proc. Symp. Pure and Appl. Math. AMS, 10 ( [Ser] SERRE J. P., Algèbre locale. Multiplicités. Lecture Notes in Math. n° 11, Berlin, Heidelberg, New York, Springer, [Ta] TANGERMAN F. M., To appear. [T] TAYLOR M., Pseudodifferential operators, Princeton, Princeton Univ. Press, [W] WITTEN E., Supersymmetry and Morse theory, J. Differential Geom., 17 ( |
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