Inertial $h$-cobordisms with finite cyclic fundamental group
نویسندگان
چکیده
منابع مشابه
Diffeomorphisms of Manifolds with Finite Fundamental Group
We show that the group 3i{M) of pseudoisotopy classes of diffeomorphisms of a manifold of dimension > 5 and of finite fundamental group is commensurable to an arithmetic group. As a result n0{DiffM) is a group of finite type. Let M be an «-dimensional closed smooth manifold, where n > 5, and let DiffM be the group of diffeomorphisms of M. The space DiffM (it is a topological space with the C°°-...
متن کاملA Plane Sextic with Finite Fundamental Group
We analyze irreducible plane sextics whose fundamental group factors to D14. We produce explicit equations for all curves and show that, in the simplest case of the set of singularities 3A6, the group is D14 × Z3.
متن کاملNon-smoothable Four-manifolds with Cyclic Fundamental Group
In [9], two of us constructed a closed oriented 4-dimensional manifold with fundamental group Z that does not split off S×S. In this note we show that this 4-manifold, and various others derived from it, do not admit smooth structures. Moreover, we find an infinite family of 4-manifolds with exactly the same properties (and same intersection form on H2). As a corollary, we obtain topologically ...
متن کاملNon-smoothable Four-manifolds with Infinite Cyclic Fundamental Group
In [11], two of us constructed a closed oriented 4-dimensional manifold with fundamental group Z that does not split off S1 × S3. In this note we show that this 4-manifold, and various others derived from it, do not admit smooth structures. Moreover, we find an infinite family of 4-manifolds with exactly the same properties. As a corollary, we obtain topologically slice knots that are not smoot...
متن کاملQuantum Mechanics on Spaces with Finite Fundamental Group
We consider in general terms dynamical systems with finite-dimensional, nonsimply connected configuration-spaces. The fundamental group is assumed to be finite. We analyze in full detail those ambiguities in the quantization procedure that arise from the non-simply connectedness of the classical configuration space. We define the quantum theory on the universal cover but restrict the algebra of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1974
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1974-0358820-2