"Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared un…
This paper deals with the two broad questions of how 3-manifold groups imbed in one another and how such imbeddings relate to any corresponding [lowercase Greek]Pi₁-injective maps. In particular, we are interested in 1) determining which 3-manifold groups are no cohopfian, that …
In this paper we develop the spectral theory of the Laplace-Beltrami operator for geometrically periodic hyperbolic 3-manifolds, [double-struck capital]H³/G. Using the theory of holomorphic families of operators, we obtain a quantitative description of the absolutely continuous …
This is a detailed paper concerning complete noncompact 2-dimensional Riemannian manifolds M with nonpositive Gaussian curvature.
by Dovermann, Karl Heinz, Petrie, Ted
fromMemoirs of the American Mathematical Society
In the main part of this paper we consider one type of surgery problem and in the appendices we treat special cases, generalizations, and relative versions.
