Torsion and fibrations

Journal fur die Reine und Angewandte Mathematik

Volumn 498, Issue , 1998, Pages 1-33

  Lück, Wolfgang ^a   Schick, Thomas ^a   Thielmann, Thomas ^a  

^a UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040248934     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.1998.050     Document Type: Article

References (22)

1. J.-M. Bismut and W. Zhang, An extension of a theorem by Cheeger and Müller, Astérisque 205 (1992).
2. H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, Princeton 1956.
3. J. Cheeger, Analytic torsion and the heat equation, Ann. Math. 109 (1979), 259-322.
4. M. M. Cohen, A course in simple homotopy theory, Grad. Texts Math. 10, Springer, 1973.
5. X. Dai and R. B. Melrose, Adiabatic limit of the analytic torsion, preprint.
6. D. Freed, Reidemeister torsion, spectral sequences, and Brieskorn spheres, J. reine angew. Math. 429 (1992), 75-89.
7. D. Fried, Lefschetz formulas for flows, Lefschetz Centennial Conference, Contemp. Math. 58 III (1987), 19-69.
8. A. Hassell, Analytic surgery and analytic torsion, Thesis, MIT, 1994.
9. J. Lott and M. Rothenberg, Analytic torsion for group actions, J. Diff. Geom. 34 (1991), 431-481.
10. W. Lück, Transformation groups and algebraic K-theory, Lect. Notes Math. 1408, Springer, 1989.
11. W. Lück, Analytic and topological torsion for manifolds with boundary and symmetries, J. Diff. Geom. 37 (1993), 263-322.
12. W. Lück and M. Rothenberg, Reidemeister torsion and the K-theory of von Neumann algebras, K-theory 5 (1991), 213-264.
13. S. Maumary, Contributions à la théorie du type simple d'homotopy, Comm. Math. Helv. 44 (1969), 410-437.
14. R. R. Mazzeo and R. B. Melrose, The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration, J. Diff. Geom. 31 (1990), 185-213.
15. J. McCleary, User's guide to spectral sequences, Math. Lect. Notes Ser. 12, Publish or Perish, 1985.
16. J. Milnor, Whitehead torsion, Bull. AMS 73 (1966), 358-426.
17. W. Müller, Analytic torsion and R-torsion of Riemannian manifolds, Adv. Math. 28 (1978), 233-305.
18. W. Müller, Analytic torsion and R-torsion for unimodular representations, J. AMS 6 (1993), 721-753.
19. H.-J. Munkholm, Transfer on algebraic K-theory and Whitehead torsion for PL-fibrations, J. Pure Appl. Alg. 20 (1981), 195-225.
20. D. B. Ray and I. Singer, R-torsion and the Laplacian on Riemannian manifolds. Adv. Math. 7 (1971), 145-210.
21. R. M. Switzer, Algebraic Topology - Homotopy and Homology, Grundl. math. Wiss. 212, Springer, 1975.
22. G. W. Whitehead, Elements of homotopy theory, Grad. Texts Math. 61, Springer, 1978.