Homotopy classification of maps between simply connected four manifolds
نویسندگان
چکیده
منابع مشابه
Symmetry Groups of Non-simply Connected Four-manifolds
LetM be a closed, connected, orientable topological four-manifold with H1(M) nontrivial and free abelian, b2(M) 6= 0, 2, and χ(M) 6= 0. Then the only finite groups which admit homologically trivial, locally linear, effective actions on M are cyclic. The proof uses equivariant cohomology, localization, and a careful study of the first cohomology groups of the (potential) singular set.
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This paper concerns (but does not succeed in performing) the diffeomorphism classification of closed, oriented, differential, simply-connected 4-manifolds. It arises out of the observation (due to Pontrjagin and Milnor [2]) that if two such manifolds Mx and M2 have isomorphic quadratic forms of intersection numbers on #2(Jft-), then there is a map / : M1-^-Mi which is a homotopy equivalence and...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2005
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2004.12.009