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Which 3-manifold groups are Kähler groups?

Alexandru Dimca, Alexander Suciu (2009)

Journal of the European Mathematical Society

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 Kähler 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 .

Whitney regularity and generic wings

V. Navarro Aznar, David J. A. Trotman (1981)

Annales de l'institut Fourier

Given adjacent subanalytic strata ( X , Y ) in R n verifying Kuo’s ratio test ( r ) (resp. Verdier’s ( w ) -regularity) we find an open dense subset of the codimension k C 1 submanifolds W (wings) containing Y such that ( X W , Y ) is generically Whitney ( b π ) -regular is exactly one more than the dimension...

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