Kyoto journal of mathematicsS. Theriault, The homotopy types of Sp(2)-gauge groups, Kyoto J. Math. 50 (2010), no. 3, 591-605.D. Kishimoto, S. Theriault, M. Tsutaya, The homotopy types of G2-gauge groups, Topology Appl., 228, (2017), 92 - 107....
Homotopy groups Let M(X, Y) denote the set of continuous mappings between the topological spaces X and Y. Two mappings f, g ∈ M(X, Y) are called homotopic if there is a one-parameter family of mappings ft ∈ M(X, Y) depending continuously on t ∈ [0, 1] and joining f and ...
2-primary exponents for the homotopy groups of spheres The object of this paper is to describe certain families of unstable elements in the homotopy groups of spheres at an odd prime. In so doing we completely account for the image of J as possible Hopf invariants of unstable elements. The ...
Toda, H.: Generalized Whitehead products and homotopy groups of spheres. J. Inst. Polytech. Osaka City Univ. Ser. A Math. 3, 43–82 (1952) Toda, H: Composition methods in the homotopy groups of spheres. Adv. in Math. Study, vol. 49. Princeton University Press, Princeton (1962) Vogt...
While they are known to afford a generalized character theory in the sense of Hopkins, Kuhn, and Ravenel [54], a classification of isomorphism classes of E-linear representation theory of finite groups seems out of reach. In light of this, our second main theorem provides a ‘coarse’ ...
The main purpose of this work is to study the homotopy theory of dg-categories up to quasi-equivalences. Our main result is a description of the mapping sp... B To?N - 《Inventiones Mathematicae》 被引量: 474发表: 2007年 Homotopy groups of configuration spaces and the string problem of...
Homotopy groups of the spaces of self-maps of lie groups II We compute the homotopy groups of the spaces of self-maps of SU(3) and Sp(2). Katsumi,Oshima,Hideaki,... - 《Kodai Mathematical Journal》 被引量: 5发表: 2009年 NOTE ON HOMOTOPY NORMALITY AND THE n-CONNECTED FIBER SPACE Giv...
2 n) then, n , n , 2p−2n = 0 Homotopy Nilpotency Introduction Main Theorem Main Theorem Outline of Proof Basic Tools Upper Bound Lower Bound Lower Bound Facts on Lie Groups For p: odd prime, below inclusions induces monomorphism on π ∗ when localized at p. Sp(n) →SU(2n...
topological defects mathematically, the elements of homotopy groups associated with the symmetry of the order parameter space are used to classify these defects, and the exact sequences of homotopy groups can be used to examine defect transformations associated with alterations of degeneracy space4,5,...
It is natural to guess that it is π*S, the stable homotopy groups of spheres. This statement is equivalent to the generating hypothesis.) Even if the generating hypothesis were known to be true, it would not be a satisfactory solution to 2.3.3 because stable homotopy groups are anything ...