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Virtual cohomological dimension of mapping class groups of 3-manifolds
Author(s):
Darryl
McCullough
Journal:
Bull. Amer. Math. Soc.
18
(1988),
27-30.
MSC (1985):
Primary 57M99;
Secondary 57S99, 55S37, 20F34
MathSciNet review:
919653
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Additional information
References:
- [B-E] R. Bieri and B. Eckmann, Groups with homological duality generalizing Poincaré duality, Invent. Math. 20 (1973), 103-124. MR 340449
- [B] F. Bonahon, Cobordism of automorphisms of surfaces, Ann. École Norm. Sup. (4) 16 (1983), 237-270. MR 732345
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- [H2] J. Harer, The cohomology of the moduli space of curves, preprint. MR 963064
- [H3] W. Harvey, Geometric structure of surface mapping class groups, Homological Group Theory (C. T. C. Wall, ed.), London Math. Soc. Lecture Note Series No. 36, Cambridge Univ. Press, Cambridge and New York, 1979, pp. 255-269. MR 564431
- [H4] W. Harvey, Boundary structure of the modular group, Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference, Ann. Math. Studies, No. 97, Princeton Univ. Press, Princeton, N.J., 1981, pp. 245-251. MR 624817
- [H5] G. Hemion, On the classification of homeomorphisms of 2-manifolds and the classification of 3-manifolds, Acta Math. 142 (1979), 123-155. MR 512214
- [J-S] W. Jaco and P. Shalen, Seifert fibered spaces in 3-manifolds, Mem. Amer. Math. Soc. no. 220, 1979, pp. 1-192. MR 539411
- [J] K. Johannson, Homotopy equivalences of 3-manifolds with boundaries, Lecture Notes in Math., vol. 761, Springer-Verlag, Berlin and New York, 1979. MR 551744
- [K] R. Kramer, The twist group of an orientable cube-with-two-handles is not finitely generated, unpublished.
- [M] J. McCool, Some finitely presented subgroups of the automorphism group of a free group, J. Algebra 35 (1975), 205-213. MR 396764
- [Ml] D. McCullough, Virtually geometrically finite mapping class groups of 3-manifolds, preprint. MR 1085134
- [M-M] D. McCullough and A. Miller, Homeomorphisms of 3-manifolds with compressible boundary, Mem. Amer. Math. Soc. no. 344, 1986, pp. 1-100. MR 840832
- [S] J.-P. Serre, Cohomologie des groupes discrets, Prospects in Mathematics, Ann. of Math. Studies no. 70, Princeton Univ. Press, Princeton, N.J., 1971, pp. 77-169. MR 385006
- [W] F. Waldhausen, Recent results on sufficiently large 3-manifolds, Proc. Sympos. Pure Math., vol. 32, Amer. Math. Soc., Providence, R.I., 1978, pp. 21-38. MR 520520
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Additional Information:
DOI:
10.1090/S0273-0979-1988-15582-6
PII:
S 0273-0979(1988)15582-6
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