Aspherical manifoldSplittingSimplicial volumeCo-HopfianK?hler20F65We show that the aspherical manifolds produced via the relative strict hyperboli- zation of polyhedra enjoy many group-theoretic and topological properties of open finite volume negatively pinched manifolds, including relative hyperbolicity, ...
The property aspherical, which is a purely homotopy theoretical condition, has many striking implications about the geometry and analysis of the manifold or its universal covering, and about the ring theoretic properties and the K- and L-theory of the group ring associated to its fundamental group...
Let $\\mathrm{SL}_{n}(\\mathbb{Z})$ $(n\\geq 3)$ be the special linear group and $M^{r}$ be a closed manifold. When the Euler characteristic $\\chi (M)ot\\equiv 0\\func{mod}3$ ($\\func{mod}6,$ extit{resp.}), it is proved that any group action of $\\mathrm{SL...
This completes part of our study (with D.H.Kochloukova andI.Lima) of $PD_n$-groups with pro-$p$ completion a pro-$p$ Poincar\\'e dualitygroup of dimension $\\leq{n-2}$. We also consider the question of whether thereare any examples with "dimension drop" 1....
The proof is based on a new variant of the multi-partitioned manifold index theorem which might be of independent interest. Moreover, we present an analogous statement for codimension one submanifolds. We also discuss some elementary obstructions using the \\hat{A} \\hat{A} -genus of ...
We survey recent developments which led to the proof of the Benson-Gordonconjecture on K\"ahler quotients of solvable Lie groups. In addition we provethat the Albanese morphism of a K\"ahler manifold which is a homotopy torus isa biholomorphic map. The latter result then implies the ...
We fix a null-homologous, homotopically essential knot $J$ in a 3-manifold with PTFA fundamental group and study concordance of knots that are homotopic to... H Prudence - 《International Mathematics Research Notices》 被引量: 2发表: 2012年 加载更多引用...
Services Benefit from asphericon’s experience at all stages of the value chain, from the initial optical design to manufacturing and coating, precise measurement and documentation through to the installation of optical assemblies and their optical characterisation. ...
(位, 位); an optical manifold with tapered shape, internally hollow and provided with an internal reflecting surface; said manifold extending from a larger base, facing said lower portion of the aspheric lens, to a smaller base and being adapted for receiving the effective light therein, ...
Our goal is tofind a class $ \\mathcal{M}_n $ \\mathcal{M}_n of oriented n-dimensional closed smooth manifolds such that each integral homology class can be realized with some multiplicity by an imageof a manifold from the class $ \\mathcal{M}_n $ \\mathcal{M}_n . We prove...