On Simply-connected 4-manifolds
نویسنده
چکیده
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 induces the tangent bundle of Mx from that of M2 (see below). The same result is also known to follow from /i-cobordism of Mx to M2 [4]. This suggests
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