Periodic maps on simply connected four-manifolds
نویسندگان
چکیده
منابع مشابه
On Simply-connected 4-manifolds
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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Let f be a self-map of a smooth compact connected and simplyconnected manifold of dimension m ≥ 3, r a fixed natural number. In this paper we define a topological invariant Dm r [f ] which is the best lower bound for the number of r-periodic points for all C1 maps homotopic to f . In case m = 3 we give the formula for D3 r [f ] and calculate it for self-maps of S2 × I. 2000 Mathematics Subject ...
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ژورنال
عنوان ژورنال: Topology
سال: 1991
ISSN: 0040-9383
DOI: 10.1016/0040-9383(91)90033-z