Gortler, StevenThurston, Dylan P.2014-03-032014Gortler, Steven J. and Dylan P. Thurston. 2014. Generic global rigidity in complex and pseudo-Euclidean spaces. The Fields Institute Conference Proceedings 2014.1069-5265http://nrs.harvard.edu/urn-3:HUL.InstRepos:11856176In this paper we study the property of generic global rigidity for frameworks of graphs embedded in d-dimensional complex space and in a d-dimensional pseudo-Euclidean space R\(^{2}\) with a metric of indefinite signature). We show that a graph is generically globally rigid in Euclidean space iff it is generically globally rigid in a complex or pseudo-Euclidean space. We also establish that global rigidity is always a generic property of a graph in complex space, and give a sufficient condition for it to be a generic property in a pseudo-Euclidean space. Extensions to hyperbolic space are also discussed.en-USJournal Article2013-11-26Steven J. Gortler and Dylan P. Thurston2014-03-03