@article{TSG_2000-2001__19__25_0, author = {Ma, Xiaonan}, title = {Flat vector bundles and analytic torsion forms}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {25--40}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {19}, year = {2000-2001}, mrnumber = {1909074}, zbl = {1004.58020}, language = {en}, url = {http://archive.numdam.org/item/TSG_2000-2001__19__25_0/} }
TY - JOUR AU - Ma, Xiaonan TI - Flat vector bundles and analytic torsion forms JO - Séminaire de théorie spectrale et géométrie PY - 2000-2001 SP - 25 EP - 40 VL - 19 PB - Institut Fourier PP - Grenoble UR - http://archive.numdam.org/item/TSG_2000-2001__19__25_0/ LA - en ID - TSG_2000-2001__19__25_0 ER -
Ma, Xiaonan. Flat vector bundles and analytic torsion forms. Séminaire de théorie spectrale et géométrie, Tome 19 (2000-2001), pp. 25-40. http://archive.numdam.org/item/TSG_2000-2001__19__25_0/
[1] Heat kernels and the Dirac operator, Grundl. Math. Wiss. 298, Springer, Berlin-Heidelberg-New York 1992. | MR | Zbl
, and ,[2] The index Theorem for families of Dirac operators: two heat equation proofs, Invent. Malh., 83 ( 1986), 91-151. | MR | Zbl
,[3] Families of immersions, and higher analytic torsion, Astérisque 244, 1997. | Numdam | MR | Zbl
,[4] Families torsion and Morse fonctions, Astérisque 275, 2001. | Numdam | MR | Zbl
and ,[5] Complex immersions and Quillen metrics, Publ. Math. IHES., Vol. 74, 1991, 1-297. | Numdam | MR | Zbl
and ,[6] Flat vector bundles, direct images and higher real analytic torsion, J.A.M.S. 8 ( 1995), 291-363. | MR | Zbl
and ,[7] An extension of a Theorem by Cheeger and Müller, Astérisque 205, 1992. | Numdam | MR | Zbl
and ,[8] On the functoriality of Lott's secondary analytic index, math. DG/0003171. | Zbl
,[9] Analytic torsion and the Heat Equation, Ann of Math, 109 ( 1979), 259-322. | MR | Zbl
,[10] Geometric Invariants and Their Adiabatic Limits, Proc. Symposia Pure Math. 54 ( 1993), part II, 145-156. | MR | Zbl
,[11] Adiabatic limit of the analytic torsion, Preprint.
, ,[12] A Parametrized Index Theorem for the Algebraic K-Theory Euler Class, http://www.math.uiuc.edu/K-theory/0086/index.html. | Zbl
, , ,[13] Uber die Torsion einer überdeckrung, J. Reine Angew. Math. 173 ( 1935), 245-254. | Zbl
,[14] Principles of Algebraic Geometry, New-York, Wiley 1978. | MR | Zbl
, ,[15] Sur quelques points d'algèbre homologique, Tôhoku Math. J. 9, 1957, 119-221. | MR | Zbl
,[16] Parametrized Morse theory and its applications. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 643-651, Math. Soc. Japan, Tokyo, 1991. | MR | Zbl
,[17] Higher Franz-Reidemeister torsion: low-dimensional applications. Mapping class groups and moduli spaces of Riemann surfaces (Göttingen, 1991/Seattle, WA, 1991), 195-204, Contemp. Math., 150, Amer. Math. Soc., Providence, RI, 1993. | MR | Zbl
,[18] The projectivity of the moduli space of stable curves. I, Preliminaries on "det" and "div", Math. Scand. 39 ( 1976), 19-55. | MR | Zbl
, ,[19] Equivariant Reidemeister torsion on symmetric spaces, Math. Ann. 307 ( 1997), 57-69. | MR | Zbl
,[20] Secondary analytic indices, Regulars in analysis, Geometry and Number Theory. N.Schappacher, A Reznikov(ed), Progress in Math. 171. Birkhäuse 2000. | MR | Zbl
,[21] Torsion and fibrations, J. Reine Angew. Math, 498 ( 1998), 1-33. | MR | Zbl
, , and ,[22] Formes de torsion analytique et familles de submersions I, Bull. Soc. Math. France, 127 ( 1999), 541 -621. | Numdam | MR | Zbl
,[23] Formes de torsion analytique et familles de submersions II, Asian J of Math, 4 ( 2000), 633-668. | MR | Zbl
,[24] Functoriality of real analytic torsion forms. Israel J of Math, to appear. | MR | Zbl
,[25] Whitehead torsion. Bull. Amer. Math. Soc. 72 1966 358-426. | MR | Zbl
,[26] Analytic torsion and R-torsion of Riemannian manifolds. Adv. in Math. 28 ( 1978), 233-305. | MR | Zbl
,[27] Analytic torsion and R-torsion for unimodular representations, J.A.M.S, 6 ( 1993), 721-753. | MR | Zbl
,[28] Singer I.M., R-torsion and the Laplacian on Riemannian Manifolds, Adv. in Math, 7 ( 1971), 145-210. | MR | Zbl
,[29] Homotopieringe und Linsenraüm, Hamburger Abhandl, 11 ( 1935), 102-109. | JFM
,[30] Complexes à automorphismes et homéomorphie différentiable. Ann. Inst. Fourier Grenoble 2 ( 1950), 51-67 ( 1951). | Numdam | MR | Zbl
,