Surgery on products with finite fundamental group
نویسندگان
چکیده
منابع مشابه
Evaluation of Odd-dimensional Surgery Obstructions with Finite Fundamental Group
THROUGHOUT the decade following the publication of C.T.C. Walls book, Surgery on Compact Manifolds, there was a tremendous effort on the part of many mathematicians to compute the algebraic L-groups L,(Zn) for finite groups TL. Two noteworthy results were Bak’s theorem that Lzi+ 1 (Zrc) is zero when 7c has odd order, and Wall’s result that Lsi(Z7c) is detected by multisignatures and the classic...
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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°°-...
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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...
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The 4-dimensional topological surgery conjecture has been established for a class of groups, including the groups of subexponential growth (see [6], [13] for recent developments), however the general case remains open. The full surgery conjecture is known to be equivalent to the question for a class of canonical problems with free fundamental group [5, Chapter 12]. The proof of the conjecture f...
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ژورنال
عنوان ژورنال: Topology
سال: 1977
ISSN: 0040-9383
DOI: 10.1016/0040-9383(77)90054-4