The ochanine k-invariant is a Brown-Kervaire invariant
نویسندگان
چکیده
منابع مشابه
The Kervaire invariant of immersions
where f2. G is an appropriate cobordism theory of immersed submanifolds of Euclidean space. By generalizing techniques of Browder [2] we shall give necessary and sufficient Adams spectral sequence conditions for an element in t2. G to have nonzero Kervaire invariant. Also we will prove that for every j > 1 there exists a closed, differentiable manifold of dimension 2 ) § together with an immers...
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Around the year 1960 the theory of surgery was developed as part of a program to classify manifolds of dimension greater than 4. Among the questions it addresses is this: Does every framed cobordism class contain a homotopy sphere? Recall that a framing of a closed smooth manifold is an embedding into Euclidean space together with a trivialization of the normal bundle. A good example is given b...
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Around the year 1960 the theory of surgery was developed as part of a program to classify manifolds of dimension greater than 4. Among the questions it addresses is this: Does every framed cobordism class contain a homotopy sphere? Recall that a framing of a closed smooth manifold is an embedding into Euclidean space together with a trivialization of the normal bundle. A good example is given b...
متن کاملA Note on the Kervaire Invariant
In [5] M. Kervaire defined an invariant for (4fc+2)-dimensional framed manifolds. This invariant depends only on the framed bordism class of the manifold and lies in Z2. W. Browder [2] (see also E. H. Brown [3]) gave a generalisation of the invariant that is defined for any even dimensional manifold with a Wu orientation; in this case it depends only on the Wu bordism class. A framed manifold h...
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In this note, we try to shed some light on the relationships between the Hopf invariant, Kervaire invariant, and Whitehead square. More specifically, we prove two classical results (theorems 2.1 and 3.1) in a way that seems more transparent (at least to the author) than what is found in the literature. No new results are claimed, only a different exposition. In addition to the references cited,...
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ژورنال
عنوان ژورنال: Topology
سال: 1997
ISSN: 0040-9383
DOI: 10.1016/0040-9383(95)00063-1