We determine the number of distinct homotopy types for the gauge groups of principal Sp(2)-bundles over a closed simply connected four-manifold.doi:10.1134/S0081543819030179Tseleung SoStephen TheriaultProceedings of the Steklov Institute of Mathematics...
Lipschitz and horizontal maps from an -dimensional space into the (2+1)-dimensional Heisenberg group Hn are abundant, while maps from higher-dimensional sp... S Wenger,R Young - 《Geometric & Functional Analysis》 被引量: 21发表: 2014年 Lipschitz Homotopy Groups of the Heisenberg Groups Lipsch...
The homotopy groups of a spectrum whose {m BP}\\sb *-homology is v\\sp {-1}\\sb 2{m BP}\\sb */(2,v\\sb 1\\sp \\infty)[t\\sb 1]øtimesŁambda(t\\sb 2) MASAMOTO KEIKO , MATSUHISA TSUYOSHI , SHIMOMURA KATSUMI Osaka Journal of Mathematics 33(1), 69-82, 1996-03年份...
2) homotopy 3-sphere 同伦3-球面3) Stable homotopy groups of spheres 球面稳定同伦群 1. To determine the stable homotopy groups of spheres is not only one of the central problems in homotopy theory,but also a very difficult problem. 决定球面稳定同伦群是同伦中的一个中心问题,同时也是非常困难...
(21,l). We also give bounds on the number of 2 -local homotopy types amongst the G(k). Our results follow from a thorough examination of the commutator map c : Sp(1) Lambda Sp(3) - Sp(3) and we determine its order to be either 4 . 3 . 7 = 84, 8 . 3 . 7 = 168 or...
The v1-periodic homotopy groups v-11π*(X; p) are computed explicitly for all pairs (X, p), where X is an exceptional Lie group whose integral homology has no p-torsion. This yields new lower bounds for p-exponents of actual homotopy groups of these spaces. Delicate calculations with ...
The symplectic group $Aut(H_1(X,{\mathbb Z}))=Sp(2g,{\mathbb Z})$ has a natural action on the rational homotopy groups $\pi_n({\mathcal N}_X) \otimes {\mathbb Q}$. We prove that this action extends to an action of $Sp(2g,{\mathbb C})$ on $\pi_n({\mathcal N}_X...
On the homotopy group π 8n+4 (Sp(n)) and the Hopf invariant The purpose of this note is to study the homotopy groups of $U(n)$ and $S_{p}(n)$ of the first dimension over the meta-stable range. Our method is to use the classical $\\\mathrm{EHP}$-sequence. K Morisugi - ...
stable homotopy groups of spheres π_(p~nq+(s+3)(pq)+(s+1)q-5)Swhich is represented (up to a nonzero scalar) by _(s+2)b_0h_n ∈ Ext_A~(s+5,p~nq+(s+3)pq+(s+1)q+s)(Z_p,Z_p)in theAdams spectral sequence,where p≥5 is a prime number,n≥3,0≤sp-3,q=2(p...
Except in some limiting cases, we obtain either the exact value or the order of magnitude of these distances. A striking phenomenon arises when $sp>N\\ge 2$, when the metric distance has an upper bound independent of the classes, while the Hausdorff distance of two different classes is ...