@phdthesis{BJHTUP11_1998__0519__P0_0, author = {Ma, Xiaonan}, title = {Formes de torsion analytique et familles de submersions}, series = {Th\`eses d'Orsay}, publisher = {Universit\'e de Paris-Sud Centre d'Orsay}, number = {519}, year = {1998}, language = {fr}, url = {http://www.numdam.org/item/BJHTUP11_1998__0519__P0_0/} }
Ma, Xiaonan. Formes de torsion analytique et familles de submersions. Thèses d'Orsay, no. 519 (1998), 152 p. http://numdam.org/item/BJHTUP11_1998__0519__P0_0/
[ABoP] On the heat equation and the Index Theorem, Invent. Math. 19 (1973), 279-330. | MR | Zbl
, et ,[BaFM] Riemann-Roch for singular varietes, Publ. Math. IHES., Vol. 45 (1975), 101-146. | MR | Zbl | Numdam | DOI
, , ,[BeGeV] Heat kernels and the Dirac operator, Grundl. Math. Wiss. 298, Springer, Berlin-Heidelberg-New York 1992. | MR | Zbl
, et ,[BerB] Quillen metric and higher analytic torsion forms. J. Reine Angew. Math 457, 1994, 85-184. | MR | Zbl
, ,[B1] The index Theorem for families of Dirac operators: two heat equation proofs, Invent. Math., 83 (1986), 91-151. | MR | Zbl
,[B2] Superconnection currents and complex immersions, Invent. Math. 99 (1990), 59-113. | MR | Zbl
,[B3] Koszul complexes, harmonic oscillators and the Todd class, J.A.M.S. 3 (1990), 159-256. | MR | Zbl
,[B4] Families of immersions, and higher analytic torsion, Preprint, Orsay, 96-14. | Zbl | Numdam
,[B5] Familles d'immersions et formes de torsion analytique en degré supérieur. C.R.A.S. Paris, 320, série I (1995), 969-974. | MR | Zbl
,[BCh] -invariants and their adiabatic limits, J.A.M.S., 2 (1989), 33-70. | MR | Zbl
, ,[BGS1] Analytic torsion and holomorphic determinant bundles.I, Comm. Math. Phys. 115 (1988), 49-78. | MR | Zbl
, , ,[BGS2] Analytic torsion and holomorphic determinant bundles.II, Comm. Math. Phys. 115 (1988), 79-126. | Zbl
, , ,[BGS3] Analytic torsion and holomorphic determinant bundles.III, Comm. Math. Phys. 115 (1988), 301-351. | MR
, , ,[BKö] Higher analytic torsion forms for direct images and anomaly formulas. J. of. Alg. Geom. 1 (1992), 647-684. | MR | Zbl
, ,[BL] Complex immersions and Quillen metrics. Publ. Math. IHES., Vol. 74, 1991. | Zbl | Numdam
et ,[BS] Le théorème de Riemann-Roch, Bull. Soc. Math. France, 86 (1958), 97-136. | MR | Zbl | Numdam | DOI
, ,[CE] Homological Algebra, Princeton 1956. | MR | Zbl
et ,[CP] Introduction à la théorie des équations aux dérivées partielles, Paris: Gauthier-villars 1981. | MR | Zbl
, ,[D] Adiabatic limits, non multiplicativity of signature and Leray spectal sequence, J.A.M.S. 4 (1991), 265-321. | MR | Zbl
,[F] Lectures on the arithmetic Riemann-Roch theorem. Ann. of mathematical studies. Princeton. Princeton University Press 1992. | MR | Zbl | DOI
,[Ge] A short proof of the Atiyah-Singer Index Theorem, Topology, 25 (1986), 111-117. | MR | Zbl | DOI
,[Go] Théorie des faisceaux, Hermann. Paris, 1958. | Zbl
,[GrH] Principles of Algebraic Geometry, New-York, Wiley 1978. | MR | Zbl
, ,[Grot] Sur quelques points d'algèbre homologique, Tôhoku Math. J. 9, 1957, 119-221. | MR | Zbl
,[GS1] Arithmetic Intersection Theory, Publ. Math. IHES., Vol. 72, 1990, 93-174. | MR | Zbl | Numdam | DOI
, ,[GS2] Characteristic classes of algebraic vector bundles with Hermitian metric, I, II, Ann. of Math., 131 (1990), 163-203, 205-238. | MR | Zbl
, ,[GS3] Analytic torsion and the arithmetic Todd genus, Topology 30 (1991), 21-54. | MR | Zbl | DOI
, ,[GS4] An arithmetic Riemann-Roch Theorem, Invent. Math., 110 (1992), 473-543. | MR | Zbl | DOI
, ,[H] Algebraic Geometry, GTM 52, Springer, 1977. | MR | Zbl
,[KM] The projectivity of the moduli space of stable curves, I, Preliminaires on "det" and "div", Math. Scand. 39 (1976), 19-55. | MR | Zbl
, ,[Ma] Formes de torsion analytique et familles de submersions, C.R.A.S. Paris, 324, série I (1997), 205-210. | MR | Zbl
.,[M] Division des distributions: Exposé au Séminaire Bourbaki n° 203 (1960). | MR | Zbl | Numdam
,[MKS] Curvature and the eigenvalues of the Laplacian, J. Diff. Geom. 1 (1967), 43-69. | MR | Zbl
, ,[Q1] Higher K-theories : I. SLNM 341, Springer, Berlin (1973), 85-147. | Zbl
,[Q2] Superconnections and the Chern character, Topology, 24 (1986), 89-95. | MR | Zbl | DOI
,[RS] Analytic torsion for complex manifolds, Ann. of Math. 98 (1973), 154-177. | MR | Zbl
, ,[T] Pseudodifferential operators, Princeton Univ Press, Princeton 1981. | MR | Zbl
,[1] Quillen metrics and higher analytic torsion forms, J. Reine Angew. Math., 457, p. 85-184. | MR | Zbl
et , 1994.[2] The index theorems for families of Dirac operators : two heat equation proofs, Invent. Math. 85, p. 91-151. | MR | Zbl
, 1986.[3] Families of immersions, and higher analytic torsion, Preprint, Orsay, 96-14. | Zbl | Numdam
[4] -invariant and their adiabatic limits. J. Amer. Math. Soc., 2, p. 33-70. | MR | Zbl
et , 1989.[5] Analytic torsion and holomorphic determinant bundles. Comm. Math. Phys., 115, p. 49-78, 79-126, 301-351. | MR | Zbl
, et , 1988.[6] Higher analytic torsion forms and anomaly formulas, J. Algebraic Geom., 1, p. 647-684. | MR | Zbl
et , 1992.[7] Complex immersions and Quillen metric, Publ. Math. Inst. Hautes Études Sci., 74, p. 1-297. | MR | Zbl | Numdam | DOI
et , 1991.[8] Homological Algebra, Princeton. | MR | Zbl
et , 1956.[9] Adiabatic limits, nonmultiplicativity of signature, and Leray spectral sequence, J. Amer. Math. Soc., 4, p. 265-321. | MR | Zbl | DOI
, 1991.[10] Analytic torsion and the arithmetic Todd genus, Topology, 30, p. 21-54. | MR | Zbl | DOI
et , 1991.[11] Sur quelques points d'algèbre homologique, Tôhoku Math. J., 9, p. 119-221. | MR | Zbl
, 1957.[12] Formes de torsion analytique et familles de submersions (à paraître). | Zbl
[13] Superconnections and the Chern character, Topology, 24, p. 89-95. | MR | Zbl | DOI
[14] R-torsion and the Laplacien on Riemannian manifolds, Adv. in Math., 7, p. 145-210. | MR | Zbl
et , 1971.