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Table of contents for this issue | Previous article | Next article Ma, Xiaonan Submersions and equivariant Quillen metrics. Annales de l'institut Fourier, 50 no. 5 (2000), p. 1539-1588 Full text djvu | pdf | Reviews MR 2002c:58053 | Zbl 0964.58025 | 1 citation in Numdam stable URL: http://www.numdam.org/item?id=AIF_2000__50_5_1539_0 Lookup this article on the publisher's site Abstract Bibliography [ABoP] M.F. ATIYAH, R. BOTT, V.K. PATODI, On the heat equation and the Index Theorem, Invent. Math., 19 ( Article | MR 58 #31287 | Zbl 0257.58008 [BeGeV] N. BERLINE, E. GETZLER, M. VERGNE, Heat kernels and the Dirac operator, Grundl. Math. Wiss., 298 ( [BerB] A. BERTHOMIEU, J.-M. BISMUT, Quillen metric and higher analytic torsion forms, J. reine angew. Math, 457 ( [B1] J.-M. BISMUT, The Index Theorem for families of Dirac operators: two heat equation proofs, Invent. Math., 83 ( Article | MR 87g:58117 | Zbl 0592.58047 [B2] J.-M. BISMUT, Superconnection currents and complex immersions, Invent. Math., 99 ( Article | MR 91b:58240 | Zbl 0696.58006 [B3] J.-M. BISMUT, Koszul complexes, harmonic oscillators and the Todd class, J. Amer. Math. Soc., 3 ( [B4] J.-M. BISMUT, Equivariant short exact sequences of vector bundles and their analytic torsion forms, Comp. Math., 93 ( Numdam | MR 96g:58201 | Zbl 0817.32014 [B5] J.-M. BISMUT, Equivariant immersions and Quillen metrics, J. Diff. Geom., 41 ( [B6] J.-M. BISMUT, Families of immersions, and higher analytic torsion, Astérisque, 244 ( [B7] J.-M. BISMUT, The Atiyah-Singer Index Theorems: a probabilistic approach, II. The Lefschetz fixed point formulas, J. Funct. Anal., 57 ( [BCh] J.-M. BISMUT, J. CHEEGER, n-invariants and their adiabatic limits, J. Amer. Math. Soc., 2 ( [BGS1] J.-M. BISMUT, H. GILLET, C. SOULÉ, Analytic torsion and holomorphic determinant bundles, I, Comm. Math. Phys., 115 ( Article | MR 89g:58192a | Zbl 0651.32017 [BGS2] J.-M. BISMUT, H. GILLET, C. SOULÉ, Analytic torsion and holomorphic determinant bundles, II, Comm. Math. Phys., 115 ( Article | MR 89g:58192b | Zbl 0651.32017 [BGS3] J.-M. BISMUT, H. GILLET, C. SOULÉ, Analytic torsion and holomorphic determinant bundles, III, Comm. Math. Phys., 115 ( Article | MR 89g:58192c | Zbl 0651.32017 [BKö] J.-M. BISMUT, K. KÖHLER, Higher analytic torsion forms for direct images and anomaly formulas, J. Alg. Geom., 1 ( [BL] J.-M. BISMUT, G. LEBEAU, Complex immersions and Quillen metrics, Publ. Math. IHES, 74 ( Numdam | MR 94a:58205 | Zbl 0784.32010 [CP] J. CHARAZAIN, A. PIRIOU, Introduction à la théorie des équations aux dérivées partielles, Paris: Gauthier-Villars, [D] X. DAI, Adiabatic limits, non multiplicativity of signature and Leray spectral sequence, J. Amer. Math. Soc., 4 ( [DM] X. DAI, R.B. MELROSE, Adiabatic limit of the analytic torsion, Preprint. [Ge] E. GETZLER, A short proof of the Atiyah-Singer Index Theorem, Topology, 25 ( [GrH] P. GRIFFITHS, J. HARRIS, Principles of Algebraic Geometry, New York, Wiley, [GS1] H. GILLET, C. SOULÉ, Analytic torsion and the arithmetic Todd genus, Topology, 30 ( [GS2] H. GILLET, C. SOULÉ, An arithmetic Riemann-Roch Theorem, Invent. Math., 110 ( Article | MR 94f:14019 | Zbl 0777.14008 [KM] P.F. KNUDSEN, D. MUMFORD, The projectivity of the moduli space of stable curves, I, Preliminaries on “det” and “div”, Math. Scand., 39 ( [K] K. KÖHLER, Complex analytic torsion forms for torus fibrations and moduli spaces, in Regulars in analysis, Geometry and Number Theory, N. Schappacher, A. Reznikov (eds.), Progress in Math., Birkhäuser, 171 ( [KRo] K. KÖHLER, D. ROESSLER, Un théorème du point fixe de Lefschetz en géométrie d'Arakerov, C. R. Acad. Sci. Paris, 326, série I ( [KRo1] K. KÖHLER, D. ROESSLER, A fixed point formula of Lefschetz type in Arakelov Geometry I: statement and proof, Invent. Math., to appear. Zbl 01655727 [Ma] XIAONAN MA, Formes de torsion analytique et familles de submersions, C. R. Acad. Sci. Paris, 324, série I ( [Ma1] Xiaonan MA, Formes de torsion analytique et familles de submersions, I, Bull. Soc. Math. France, 127 ( Numdam | Zbl 0956.58017 [MKS] H. MCKEAN, I.M. SINGER, Curvature and the eigenvalues of the Laplacian, J. Diff. Geom., 1 ( [Q1] D. QUILLEN, Determinants of Cauchy-Riemann operators over a Riemann surface, Funct. Anal. Appl., 14 ( [Q2] D. QUILLEN, Superconnections and the Chern character, Topology, 24 ( [RS] D.B. RAY, Singer I.M., Analytic torsion for complex manifolds, Ann. of Math., 98 ( [T] M. TAYLOR, Pseudodifferential operators, Princeton Univ. Press, Princeton, |
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