Formes de torsion analytique et familles des submersions I
Bulletin de la Société Mathématique de France (1999)
- Volume: 127, Issue: 4, page 541-621
- ISSN: 0037-9484
Access Full Article
topHow to cite
topXiaonan, Ma. "Formes de torsion analytique et familles des submersions I." Bulletin de la Société Mathématique de France 127.4 (1999): 541-621. <http://eudml.org/doc/87818>.
@article{Xiaonan1999,
author = {Xiaonan, Ma},
journal = {Bulletin de la Société Mathématique de France},
keywords = {analytic torsion forms; submersions},
language = {fre},
number = {4},
pages = {541-621},
publisher = {Société mathématique de France},
title = {Formes de torsion analytique et familles des submersions I},
url = {http://eudml.org/doc/87818},
volume = {127},
year = {1999},
}
TY - JOUR
AU - Xiaonan, Ma
TI - Formes de torsion analytique et familles des submersions I
JO - Bulletin de la Société Mathématique de France
PY - 1999
PB - Société mathématique de France
VL - 127
IS - 4
SP - 541
EP - 621
LA - fre
KW - analytic torsion forms; submersions
UR - http://eudml.org/doc/87818
ER -
References
top- [ABoP] ATIYAH (M.F.), BOTT (R.), PATODI. (V.K.). — On the heat equation and the Index Theorem, Invent. Math., t. 19, 1973, p. 279-330. Zbl0257.58008MR58 #31287
- [BaFM] BAUM (P.), FULTON (W.), MACPHERSON (R.). — Riemann-Roch for singular varietes, Publ. Math. IHES, t. 45, 1975, p. 101-146. Zbl0332.14003MR54 #317
- [BeGeV] BERLINE (N.), GETZLER (E.), VERGNE (M.). — Heat kernels and the Dirac operator. — Grundl. Math. Wiss., 298, Springer, Berlin-Heidelberg-New York, 1992. Zbl0744.58001MR94e:58130
- [BerB] BERTHOMIEU (A.), BISMUT (J.-M.). — Quillen metric and higher analytic torsion forms, J. Reine angew. Math., t. 457, 1994, p. 85-184. Zbl0804.32017MR96d:32036
- [B1] BISMUT (J.-M.). — The Index Theorem for families of Dirac operators : two heat equation proofs, Invent. Math., t. 83, 1986, p. 91-151. Zbl0592.58047MR87g:58117
- [B3] BISMUT (J.-M.). — Koszul complexes, harmonic oscillators and the Todd class, J. Amer. Math. Soc., t. 3, 1990, p. 159-256. Zbl0702.58071MR91b:58245
- [B4] BISMUT (J.-M.). — Families of immersions, and higher analytic torsion, Astérisque, 244, 1997. Zbl0899.32013MR2000b:58057
- [B5] BISMUT (J.-M.). — Familles d'immersions et formes de torsion analytique en degré supérieur, C.R.A.S. Paris, t. 320, série I, 1995, p. 969-974. Zbl0844.32010MR96d:58145
- [BCh] BISMUT (J.-M.), CHEEGER (J.). — η-invariants and their adiabatic limits, J. Amer. Math. Soc., t. 2, 1989, p. 33-70. Zbl0671.58037MR89k:58269
- [BGS1] BISMUT (J.-M.), GILLET (H.), SOULÉ (C.). — Analytic torsion and holomorphic determinant bundles I, Comm. Math. Phys., t. 115, 1988, p. 49-78. Zbl0651.32017MR89g:58192a
- [BGS2] BISMUT (J.-M.), GILLET (H.), SOULÉ (C.). — Analytic torsion and holomorphic determinant bundles II, Comm. Math. Phys., t. 115, 1988, p. 79-126. Zbl0651.32017MR89g:58192b
- [BGS3] BISMUT (J.-M.), GILLET (H.), SOULÉ (C.). — Analytic torsion and holomorphic determinant bundles III, Comm. Math. Phys., t. 115, 1988, p. 301-351. Zbl0651.32017MR89g:58192c
- [BKö] BISMUT (J.-M.), KÖHLER (K.). — Higher analytic torsion forms for direct images and anomaly formulas, J. Alg. Geom., t. 1, 1992, p. 647-684. Zbl0784.32023MR94a:58209
- [BL] BISMUT (J.-M.), LEBEAU (G.). — Complex immersions and Quillen metrics, Publ. Math. IHES, 74, 1991, p. 1-297. Zbl0784.32010MR94a:58205
- [BS] BOREL (A.), SERRE (J.-P.). — Le théorème de Riemann-Roch, Bull. Soc. Math. France, t. 86, 1958, p. 97-136. Zbl0091.33004MR22 #6817
- [CE] CARTAN (H.), EILENBERG (S.). — Homological Algebra. — Princeton, 1956. Zbl0075.24305MR17,1040e
- [CP] CHARAZAIN (J.), PIRIOU (A.). — Introduction à la théorie des équations aux dérivées partielles. — Gauthier-Villars, Paris, 1981. Zbl0446.35001
- [D] DAI (X.). — Adiabatic limits, non multiplicativity of signature and Leray spectal sequence, J. Amer. Math. Soc., t. 4, 1991, p. 265-321. Zbl0736.58039MR92f:58169
- [F] FALTINGS (G.). — Lectures on the arithmetic Riemann-Roch Theorem, Ann. Math. Studies, Princeton University Press, 1992. Zbl0744.14016MR93f:14006
- [Ge] GETZLER (E.). — A short proof of the Atiyah-Singer Index Theorem, Topology, t. 25, 1986, p. 111-117. Zbl0607.58040MR87h:58207
- [GrH] GRIFFITHS (P.), HARRIS (J.). — Principles of Algebraic Geometry. — Wiley, New-York, 1978. Zbl0408.14001MR80b:14001
- [Grot] GROTHENDIECK (A.). — Sur quelques points d'algèbre homologique, Tôhoku Math. J., t. 9, 1957, p. 119-221. Zbl0118.26104MR21 #1328
- [GS1] GILLET (H.), SOULÉ (C.). — Analytic torsion and the arithmetic Todd genus, Topology, t. 30, 1991, p. 21-54. Zbl0787.14005MR92d:14015
- [GS2] GILLET (H.), SOULÉ (C.). — An arithmetic Riemann-Roch Theorem, Invent. Math., t. 110, 1992, p. 473-543. Zbl0777.14008MR94f:14019
- [KM] KNUDSEN (P.F.), MUMFORD (D.). — The projectivity of the moduli space of stable curves I, Preliminaires on "det" and "div", Math. Scand., t. 39, 1976, p. 19-55. Zbl0343.14008
- [Ma] MA (Xiaonan). — Formes de torsion analytique et familles de submersions, C. R. Acad. Sciences Paris, t. 324, série I, 1997, p. 205-210. Zbl0880.32015MR98b:32026
- [Ma1] MA (Xiaonan). — Formes de torsion analytique et familles de submersions II, à paraître. Zbl0956.58017
- [MKS] MCKEAN (H.), SINGER (I.M.). — Curvature and the eigenvalues of the Laplacian, J. Diff. Geom., t. 1, 1967, p. 43-69. Zbl0198.44301MR36 #828
- [Q1] QUILLEN (D.). — Higher K-theories I., Springer Lecture Notes in Math., 341, Springer, Berlin, 1973, p. 85-147. Zbl0292.18004MR49 #2895
- [Q2] QUILLEN (D.). — Superconnections and the Chern character, Topology, t. 24, 1986, p. 89-95. Zbl0569.58030MR86m:58010
- [RS] RAY (D.B.), SINGER (I.M.). — Analytic torsion for complex manifolds, Ann. of Math., t. 98, 1973, p. 154-177. Zbl0267.32014MR52 #4344
- [T] TAYLOR (M.). — Pseudodifferential operators. — Princeton University Press, Princeton, 1981. Zbl0453.47026MR82i:35172
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.