@article{TSG_2000-2001__19__25_0,
     author = {Xiaonan Ma},
     title = {Flat vector bundles and analytic torsion forms},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {25--40},
     year = {2000-2001},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {19},
     doi = {10.5802/tsg.316},
     zbl = {1004.58020},
     mrnumber = {1909074},
     language = {en},
     url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.316/}
}
                      
                      
                    TY - JOUR AU - Xiaonan Ma 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 - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.316/ DO - 10.5802/tsg.316 LA - en ID - TSG_2000-2001__19__25_0 ER -
%0 Journal Article %A Xiaonan Ma %T Flat vector bundles and analytic torsion forms %J Séminaire de théorie spectrale et géométrie %D 2000-2001 %P 25-40 %V 19 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.316/ %R 10.5802/tsg.316 %G en %F TSG_2000-2001__19__25_0
Xiaonan Ma. Flat vector bundles and analytic torsion forms. Séminaire de théorie spectrale et géométrie, Tome 19 (2000-2001), pp. 25-40. doi: 10.5802/tsg.316
[1] , and , Heat kernels and the Dirac operator, Grundl. Math. Wiss. 298, Springer, Berlin-Heidelberg-New York 1992. | MR | Zbl
[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. | MR | Zbl
[4] and , Families torsion and Morse fonctions, Astérisque 275, 2001. | MR | Zbl
[5] and , Complex immersions and Quillen metrics, Publ. Math. IHES., Vol. 74, 1991, 1-297. | Numdam | MR | Zbl
[6] and , Flat vector bundles, direct images and higher real analytic torsion, J.A.M.S. 8 ( 1995), 291-363. | MR | Zbl
[7] and , An extension of a Theorem by Cheeger and Müller, Astérisque 205, 1992. | MR | Zbl
[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] , , and , Torsion and fibrations, J. Reine Angew. Math, 498 ( 1998), 1-33. | MR | Zbl
[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
Cité par Sources :

