Duke Mathematical Journal

Some aspherical manifolds

Michael W. Davis

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Article information

Duke Math. J., Volume 55, Number 1 (1987), 105-139.

First available in Project Euclid: 20 February 2004

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57S30: Discontinuous groups of transformations
Secondary: 57R15: Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) 57R19: Algebraic topology on manifolds


Davis, Michael W. Some aspherical manifolds. Duke Math. J. 55 (1987), no. 1, 105--139. doi:10.1215/S0012-7094-87-05507-4. https://projecteuclid.org/euclid.dmj/1077305882

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  • [B] N. Bourbaki, Éléments de mathématique. Fasc. XXXIV. Groupes et algèbres de Lie. Chapitre IV: Groupes de Coxeter et systèmes de Tits. Chapitre V: Groupes engendrés par des réflexions. Chapitre VI: systèmes de racines, Actualités Scientifiques et Industrielles, No. 1337, Hermann, Paris, 1968.
  • [D1] M. W. Davis, Groups generated by reflections and aspherical manifolds not covered by Euclidean space, Ann. of Math. (2) 117 (1983), no. 2, 293–324.
  • [D2] M. W. Davis, The homology of a space on which a reflection group acts, Duke Math. J. 55 (1987), no. 1, 97–104.
  • [F] D. Fried, The cohomology of an isospectral flow, Proc. Amer. Math. Soc. 98 (1986), no. 2, 363–368.
  • [H] H. Hiller, Geometry of Coxeter Groups, Research Notes in Mathematics, vol. 54, Pitman, Boston, 1982.
  • [K] B. Kostant, The solution to a generalized Toda lattice and representation theory, Adv. in Math. 34 (1979), no. 3, 195–338.
  • [M] J. Moser, Finitely many mass points on the line under the influence of an exponential potential–an integrable system, Dynamical systems, theory and applications (Rencontres, BattelleRes. Inst., Seattle, Wash., 1974), Springer Lecture Notes in Physics, vol. 38, Springer-Verlag, Berlin and New York, 1975, pp. 467–497.
  • [S] L. Solomon, A decomposition of the group algebra of a finite Coxeter group, J. Algebra 9 (1968), 220–239.
  • [Th] W. Thurston, The geometry and topology of $3$-manifolds, Princeton University, 1977, reproduced lecture notes.
  • [T] C. Tomei, The topology of isospectral manifolds of tridiagonal matrices, Duke Math. J. 51 (1984), no. 4, 981–996.