منابع مشابه
A new family in the stable homotopy groups of spheres
Let $p$ be a prime number greater than three. In this paper, we prove the existence of a new family of homotopy elements in the stable homotopy groups of spheres $pi_{ast}(S)$ which is represented by $h_nh_mtilde{beta}_{s+2}in {rm Ext}_A^{s+4, q[p^n+p^m+(s+2)p+(s+1)]+s}(mathbb{Z}_p,mathbb{Z}_p)$ up to nonzero scalar in the Adams spectral sequence, where $ngeq m+2>5$, $0leq sExt}_A^{s+2,q[(s+2)p...
متن کاملa new family in the stable homotopy groups of spheres
let $p$ be a prime number greater than three. in this paper, we prove the existence of a new family of homotopy elements in the stable homotopy groups of spheres $pi_{ast}(s)$ which is represented by $h_nh_mtilde{beta}_{s+2}in {rm ext}_a^{s+4, q[p^n+p^m+(s+2)p+(s+1)]+s}(mathbb{z}_p,mathbb{z}_p)$ up to nonzero scalar in the adams spectral sequence, where $ngeq m+2>5$, $0leq sext}_a^{s+2,q[(s+2)p...
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Let $p$ be a prime with $pgeq 7$ and $q=2(p-1)$. In this paper we prove the existence of a nontrivial product of filtration $s+4$ in the stable homotopy groups of spheres. This nontrivial product is shown to be represented up to a nonzero scalar by the product element $widetilde{gamma}_{s}b_{n-1}g_{0}in {Ext}_{mathcal{A}}^{s+4,(p^n+sp^2+sp+s)q+s-3}(mathbb{Z}/p,mathbb{Z}/p)$ in ...
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TO = \ I l̂ l'vol. * J M A harmonic map 0 is said to be stable if the second variation of E at (j> is positive semidefinite. That is: for all smooth variations t)\t=0 > 0. Of particular interest is the case where M is the sphere S and N is a Riemannian symmetric space G/K. In this setting harmonic maps are branched minimal immersions, or the finite ...
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Let βs be the generator of the second line of the E2-term of the Adams-Novikov spectral sequence converging to the stable homotopy groups π∗(S) of spheres at the prime three. Ravenel conjectured that the generator βs survives to a homotopy element if and only if s ≡ 0, 1, 2, 3, 5, 6 mod 9. In [9], we proved the ‘only if’ part. In [1], Behrens and Pemmaraju showed that βs survives to a homotopy ...
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ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2012
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v4n2p34