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A class of non-Kählerian manifolds

Published online by Cambridge University Press:  24 October 2008

F. E. A. Johnson
Affiliation:
Department of Mathematics, University College, London WC1E 6BT

Extract

Let S+ (resp. S) denote the class of fundamental groups of closed orientable (resp. non-orientable) 2-manifolds of genus ≥ 2, and let surface = S+S. In the list of problems raised at the 1977 Durham Conference on Homological Group Theory occurs the following([7], p. 391, (G. 3)).

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

REFERENCES

[1]Atiyah, M. F.. The signature of fibre bundles. Coll. Math. Papers in honour of K. Kodaira (Tokyo University Press, 1969).Google Scholar
[2]Griffiths, P. A. and Harris, J.. Principles of Algebraic Geometry (Wiley-Interscience, 1978).Google Scholar
[3]Johnson, F. E. A.. On the realisability of poly-surface groups. J. Pure Appl. Algebra 15 (1979), 235241.CrossRefGoogle Scholar
[4]Johnson, F. E. A. and Rees, E. G.. On groups which can be the fundamental group of a smooth projective variety. (In preparation.)Google Scholar
[5]Kodaira, K.. A certain type of irregular algebraic surface. Journal Analyse Math. 19 (1967), 207215.CrossRefGoogle Scholar
[6]Thurston, W. P.. Some simple examples of symplectic manifolds. Proc. Amer. Math. Soc. 55 (1976), 467468.Google Scholar
[7]Wall, C. T. C. (ed.). List of problems. Homological Group Theory. London Mathematical Society Lecture Notes, vol. 36 (Cambridge University Press, 1979).CrossRefGoogle Scholar