Brown-Kervaire Invariants
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منابع مشابه
The Kervaire invariant and surgery theory
We give an expository account of the development of the Kervaire invariant and its generalizations with emphasis on its applications to surgery and, in particular, to the existence of stably parallelizable manifolds with Kervaire invariant one.
متن کاملHopf Invariants and Browder ' S Work on the Kervaire Invariant Problem
In this paper we calculate certain functional differentials in the Adams spectral sequence converging to Wu cobordism whose values may be thought of as Hopf invariants. These results are applied to reobtain Browder's characterization: if q + 1 = 2*, there is a 2q dimensional manifold of Kervaire invariant one if and only if hi survives to EX(S°). Introduction. In 1969 Browder [2] showed that th...
متن کاملSurgery and the Generalized Kervaire Invariant, I
(i) Synopsis. The discovery, around 1960, of the 'Kervaire Invariant' for almost framed manifolds of dimension 4k+ 2 (see [12]) was an important stimulant for the development of surgery theory; but it also led to the theory of the 'generalized Kervaire Invariant' of Browder and Brown [2, 3]. The present paper is an attempt at uniting these two theories, by constructing a non-simply-connected an...
متن کاملThe 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...
متن کاملFINE STRUCTURE OF CLASS GROUPS Cl Q(ζn) AND THE KERVAIRE-MURTHY CONJECTURES
In 1977 Kervaire and Murthy presented three conjectures regarding K0ZCpn , where Cpn is the cyclic group of order p n and p is a semi-regular prime that is p does not divide h (regular p does not divide the class number h = hh). The Mayer-Vietoris exact sequence provides the following short exact sequence 0 → Vn → PicZCpn → ClQ(ζn−1)× PicZCpn−1 → 0 Here ζn−1 is a primitive p -th root of unity. ...
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تاریخ انتشار 2014