2012/01/24 by Benjamin Linowitz, Linowitz, Benjamin
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT
paper · pdf · doi:10.48550/arxiv.1201.5147
arxiv created 2012/01/24 · arxiv updated 2012/01/26
In this paper we construct, for n >= 2, arbitrarily large families of infinite towers of compact, orientable Riemannian n-manifolds which are isospectral but not isometric at each stage. In dimensions two and three, the towers produced consist of hyperbolic 2-manifolds and hyperbolic 3-manifolds, and in these cases we show that the isospectral towers do not arise from Sunada's method.