@article{BSMF_1999__127_4_541_0, author = {Xiaonan, Ma}, title = {Formes de torsion analytique et familles des submersions {I}}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {541--621}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {127}, number = {4}, year = {1999}, doi = {10.24033/bsmf.2360}, mrnumber = {2001j:58059}, zbl = {0956.58017}, language = {fr}, url = {http://archive.numdam.org/articles/10.24033/bsmf.2360/} }
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 SP - 541 EP - 621 VL - 127 IS - 4 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/bsmf.2360/ DO - 10.24033/bsmf.2360 LA - fr ID - BSMF_1999__127_4_541_0 ER -
%0 Journal Article %A Xiaonan, Ma %T Formes de torsion analytique et familles des submersions I %J Bulletin de la Société Mathématique de France %D 1999 %P 541-621 %V 127 %N 4 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/bsmf.2360/ %R 10.24033/bsmf.2360 %G fr %F BSMF_1999__127_4_541_0
Xiaonan, Ma. Formes de torsion analytique et familles des submersions I. Bulletin de la Société Mathématique de France, Tome 127 (1999) no. 4, pp. 541-621. doi : 10.24033/bsmf.2360. http://archive.numdam.org/articles/10.24033/bsmf.2360/
[ABoP] On the heat equation and the Index Theorem, Invent. Math., t. 19, 1973, p. 279-330. | MR | Zbl
, , . -[BaFM] Riemann-Roch for singular varietes, Publ. Math. IHES, t. 45, 1975, p. 101-146. | Numdam | MR | Zbl
, , . -[BeGeV] Heat kernels and the Dirac operator. - Grundl. Math. Wiss., 298, Springer, Berlin-Heidelberg-New York, 1992. | MR | Zbl
, , . -[BerB] Quillen metric and higher analytic torsion forms, J. Reine angew. Math., t. 457, 1994, p. 85-184. | MR | Zbl
, . -[B1] The Index Theorem for families of Dirac operators : two heat equation proofs, Invent. Math., t. 83, 1986, p. 91-151. | MR | Zbl
. -[B3] Koszul complexes, harmonic oscillators and the Todd class, J. Amer. Math. Soc., t. 3, 1990, p. 159-256. | MR | Zbl
. -[B4] Families of immersions, and higher analytic torsion, Astérisque, 244, 1997. | Numdam | MR | Zbl
. -[B5] Familles d'immersions et formes de torsion analytique en degré supérieur, C.R.A.S. Paris, t. 320, série I, 1995, p. 969-974. | MR | Zbl
. -[BCh] η-invariants and their adiabatic limits, J. Amer. Math. Soc., t. 2, 1989, p. 33-70. | MR | Zbl
, . -[BGS1] Analytic torsion and holomorphic determinant bundles I, Comm. Math. Phys., t. 115, 1988, p. 49-78. | MR | Zbl
, , . -[BGS2] Analytic torsion and holomorphic determinant bundles II, Comm. Math. Phys., t. 115, 1988, p. 79-126. | MR | Zbl
, , . -[BGS3] Analytic torsion and holomorphic determinant bundles III, Comm. Math. Phys., t. 115, 1988, p. 301-351. | MR | Zbl
, , . -[BKö] Higher analytic torsion forms for direct images and anomaly formulas, J. Alg. Geom., t. 1, 1992, p. 647-684. | MR | Zbl
, . -[BL] Complex immersions and Quillen metrics, Publ. Math. IHES, 74, 1991, p. 1-297. | Numdam | MR | Zbl
, . -[BS] Le théorème de Riemann-Roch, Bull. Soc. Math. France, t. 86, 1958, p. 97-136. | Numdam | MR | Zbl
, . -[CE] Homological Algebra. - Princeton, 1956. | MR | Zbl
, . -[CP] Introduction à la théorie des équations aux dérivées partielles. - Gauthier-Villars, Paris, 1981. | Zbl
, . -[D] Adiabatic limits, non multiplicativity of signature and Leray spectal sequence, J. Amer. Math. Soc., t. 4, 1991, p. 265-321. | MR | Zbl
. -[F] Lectures on the arithmetic Riemann-Roch Theorem, Ann. Math. Studies, Princeton University Press, 1992. | MR | Zbl
. -[Ge] A short proof of the Atiyah-Singer Index Theorem, Topology, t. 25, 1986, p. 111-117. | MR | Zbl
. -[GrH] Principles of Algebraic Geometry. - Wiley, New-York, 1978. | MR | Zbl
, . -[Grot] Sur quelques points d'algèbre homologique, Tôhoku Math. J., t. 9, 1957, p. 119-221. | MR | Zbl
. -[GS1] Analytic torsion and the arithmetic Todd genus, Topology, t. 30, 1991, p. 21-54. | MR | Zbl
, . -[GS2] An arithmetic Riemann-Roch Theorem, Invent. Math., t. 110, 1992, p. 473-543. | MR | Zbl
, . -[KM] The projectivity of the moduli space of stable curves I, Preliminaires on "det" and "div", Math. Scand., t. 39, 1976, p. 19-55. | Zbl
, . -[Ma] Formes de torsion analytique et familles de submersions, C. R. Acad. Sciences Paris, t. 324, série I, 1997, p. 205-210. | MR | Zbl
. -[Ma1] Formes de torsion analytique et familles de submersions II, à paraître.
. -[MKS] Curvature and the eigenvalues of the Laplacian, J. Diff. Geom., t. 1, 1967, p. 43-69. | MR | Zbl
, . -[Q1] Higher K-theories I., Springer Lecture Notes in Math., 341, Springer, Berlin, 1973, p. 85-147. | MR | Zbl
. -[Q2] Superconnections and the Chern character, Topology, t. 24, 1986, p. 89-95. | MR | Zbl
. -[RS] Analytic torsion for complex manifolds, Ann. of Math., t. 98, 1973, p. 154-177. | MR | Zbl
, . -[T] Pseudodifferential operators. - Princeton University Press, Princeton, 1981. | MR | Zbl
. -Cité par Sources :