@incollection{AST_1992__205__7_0, author = {Bismut, Jean-Michel and Zhang, Weiping}, title = {An extension of a theorem by {Cheeger} and {M\"uller}}, booktitle = {An extension of a Theorem by Cheeger and M\"uller}, series = {Ast\'erisque}, pages = {7--218}, publisher = {Soci\'et\'e math\'ematique de France}, number = {205}, year = {1992}, mrnumber = {1185803}, zbl = {0781.58039}, language = {en}, url = {http://archive.numdam.org/item/AST_1992__205__7_0/} }
TY - CHAP AU - Bismut, Jean-Michel AU - Zhang, Weiping TI - An extension of a theorem by Cheeger and Müller BT - An extension of a Theorem by Cheeger and Müller AU - Collectif T3 - Astérisque PY - 1992 SP - 7 EP - 218 IS - 205 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1992__205__7_0/ LA - en ID - AST_1992__205__7_0 ER -
%0 Book Section %A Bismut, Jean-Michel %A Zhang, Weiping %T An extension of a theorem by Cheeger and Müller %B An extension of a Theorem by Cheeger and Müller %A Collectif %S Astérisque %D 1992 %P 7-218 %N 205 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1992__205__7_0/ %G en %F AST_1992__205__7_0
Bismut, Jean-Michel; Zhang, Weiping. An extension of a theorem by Cheeger and Müller, dans An extension of a Theorem by Cheeger and Müller, Astérisque, no. 205 (1992), pp. 7-218. http://archive.numdam.org/item/AST_1992__205__7_0/
[ABoP] On the heat equation and the Index Theorem, Invent. Math. 19 (1973), 279-330. | DOI | EuDML | MR | Zbl
, , ,[BeGV] Heat kernels and the Dirac operator, Grundl. der Math. Wiss. Band 298, Berlin-Heidelberg-New-York : Springer 1992. | MR | Zbl
, , ,[B1] Superconnection currents and complex immersions, Invent. Math. 99 (1990), 59-113. | DOI | EuDML | MR | Zbl
,[B2] Large deviations and the Malliavin calculus, Progress in Math. Vol. 45, Boston : Birkhaüser 1984. | MR | Zbl
,[B3] From Quillen metrics to Reidemeister metrics: some aspects of the Ray-Singer analytic torsion, To appear. | MR | Zbl
,[BGS1] Analytic torsion and holomorphic determinant bundles, I, Comm. Math. Phys. 115 (1988), 49-78. | DOI | 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. | DOI | MR | Zbl
, , ,[BGS4] Complex immersions and Arakelov geometry, The Grothendieck Festschrift, P. Cartier and al. ed., vol. I, pp. 249-331, Progress in Math. n. 86, Boston : Birkhaüser 1990. | MR | Zbl
, , ,[BL1] Immersions complexes et métriques de Quillen, C.R. Acad. Sci. Paris Sér. I. Math. 309 (1989), 487-491. | MR | Zbl
, ,[BL2] Complex immersions and Quillen metrics, Prépublications d'Orsay 90-13 (1990), To appear in Publ. Math. IHES.
, ,[BZ] Métriques de Reidemeister et métriques de Ray- Singer sur le déterminant de la cohomologie d'un fibré plat : une extension d'un résultat de Cheeger et Müller. C.R. Acad. Sci. Paris, t. 313, Série I, (1991), 775-782.
, ,[C] Analytic torsion and the heat equation. Ann. of Math. 109 (1979), 259-322.
,[Ce] La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie, Publ. Math. IHES, 39 (1970), 5-173.
,[D] Geometric invariants and their adiabatic limits, Preprint 1991.
,[F] Uber die Torsion einer überdeckrung, J. Reine Angew. Math. 173 (1935), 245-254.
,[G] A short proof of the Atiyah-Singer index theorem, Topology 25 (1986), 111-117.
,[GlJ] Quantum physics. Berlin-Heidelberg-New-York : Springer 1987.
, ,[HSj1] Multiple wells in the semi-classical limit I, Comm. P.D.E. 9 (1984), 337-408.
, ,[HSj2] Puits multiples en limite semi-classique II, Annales I.H.P. (Physique théorique), 42 (1985), 127-212.
, ,[HSj3] Multiple wells in the semi-classical limit III, Math. Nachr. 124 (1985), 263-313.
, ,[HSj4] Puits multiples en mécanique semi-classique, IV. Etude du complexe de Witten, Comm. P.D.E., 10 (1985), 245-340.
, ,[Ho] The analysis of linear partial differential operators I, Gründl. Math. Wiss. Band 256, Berlin-Heidelberg-New-York : Springer 1983.
,[KMu] The projectivity of the moduli space of stable curves, I: Preliminaries on "det" and "div", Math. Scand. 39 (1976), 19-55.
, ,[L] Spineurs harmoniques, C.R. Acad. Sci. Paris, t. 257, Série A, (1963), 7-9.
,[McKS] Curvature and the eigenforms of the Laplacian, J. Diff. Geom. 1 (1967), 43-69.
, ,[MQ] Superconnections, Thom classes, and equivariant differential forms, Topology 25 (1986), 85-110.
, ,[Mil] Whitehead torsion, Bull. Amer. Math. Soc. 72 (1966), 358-426.
,[Mi2] A duality theorem for Reidemeister torsion, Ann. of Math. 76 (1962), 137-147.
,[Mü1] Analytic torsion and R-torsion of Riemannian manifolds, Adv. in Math. 28 (1978), 233-305.
,[Mü2] Analytic torsion and R-torsion for unimodular representations, Preprint MPI 91-50 (1991).
,[Q1] Superconnections and the Chern character, Topology, 24 (1985), 89-95.
,[Q2] Determinants of Cauchy-Riemann operators over a Riemann surface, Funct. Anal. Appl. 14 (1985), 31-34.
,[R] Reidemeister torsion and the Laplacian on lens spaces, Adv. in Math. 4 (1970), 109-126.
,[RS1] -torsion and the Laplacian on Riemannian manifolds, Adv. in Math. 7 (1971), 145-210.
, ,[RS2] Analytic torsion for complex manifolds. Ann. of Math. 98 (1973), 154-177.
, ,[Re] Homotopieringe und Linsenraüm, Hamburger Abhandl. 11 (1935), 102-109.
,[Rh1] Complexes a automorphismes et homotopies différentiables, Ann. Inst. Fourier 2 (1950), 51-67.
,[Rh2] Differentiable manifolds, Berlin-Heidelberg-New-York : Springer 1984.
,[Ro] A generalization of Morse-Smale inequalities, Bull. Am. Math. Soc. 70 (1964), 422-427.
,[Se] Complex powers of an elliptic operator, Proc. Symp. Pure and Appl. Math. AMS 10 (1967), 288-307.
,[Sm1] On gradient dynamical systems, Ann. of Math. 74 (1961), 199-206.
,[Sm2] Differentiable dynamical systems, Bull. Am. Math. Soc. 73 (1967), 747-817.
,[Ta] Reidemeister torsion and analytic torsion, Preprint 1988.
,[Tay] Pseudodifferential operators, Princeton : Princeton University Press 1981.
,[T] Sur une partition en cellules associée à une fonction sur une variété, C.R. Acad. Sci. Paris. t. 228, Série A, (1949), 661-692.
,[V] Diffusion processes in a small time interval, Comm. Pure Appl. Math. 20 (1967), 659-685.
,[W] Supersymmetry and Morse theory, J. of Diff. Geom. 17 (1982), 661-692.
,