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Which 3-manifold groups are Kähler groups?

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: A. Dimca, A. I. Suciu

Editorial: Journal of the European Mathematical Society , 11 (3), p. 521-528, 2009.

Rezumat:

The question in the title, first raised by Goldman and Donaldson, was partially answered by Reznikov. We give a complete answer, as follows: if G can be realized as both the fundamental group of a closed 3-manifold and of a compact K”ahler manifold, then G must be finite, and thus belongs to the well-known list of finite subgroups of O(4), acting freely on S^3.

Cuvinte cheie: Kähler manifold, 3-manifold, fundamental group, cohomology ring, resonance variety, isotropic subspace

URL: http://dx.doi.org/10.4171/JEMS/158