%0 Journal Article
%T On the topology of initial data sets with higher genus ends
%A Kenneth L. Baker
%A Gregory J. Galloway
%J Mathematics
%D 2014
%I arXiv
%R 10.1007/s00220-015-2309-9
%X In this note we study the topology of 3-dimensional initial data sets with horizons of a sort associated with asymptotically locally anti-de Sitter spacetimes. We show that, within this class, those initial data sets which contain no (immersed) marginally outer trapped surfaces in their interior must have simple topology: they are a product of a surface and an interval, or a mild variation thereof, depending on the connectedness of the horizon and on its genus relative to that of the end. The results obtained here extend results in [11] to the case of higher genus ends.
%U http://arxiv.org/abs/1403.0988v2