The homotopy types of G 2 -gauge groups

Homotopy Type of Map ( S 4 ; BSU ( 2 ) ) and Classifying Spaces of Gauge Groups

The homotopy type of classifying spaces of gauge groups of principal SU(2) bundle over S 4 are classi ed by the absolute value of their instanton numbers.

Homotopy 2-Types of Low Order

There is a well-known equivalence between the homotopy types of connected CW-spaces X with πnX=0 for n 6= 1, 2 and the quasi-isomorphism classes of crossed modules ∂ : M → P [16]. When the homotopy groups π1X and π2X are finite one can represent the homotopy type of X by a crossed module in which M and P are finite groups. We define the order of such a crossed module to be |∂| = |M | × |P |, an...

Homotopy, monopoles and ’t Hooft tensor for generic gauge groups

We study monopoles and corresponding ’t Hooft tensor in a generic gauge theory. This issue is relevant to the understanding of the color confinement in terms of dual symmetry.

Computing Homotopy Types Using Crossed N -cubes of Groups∗

The aim of this paper is to explain how, through the work of a number of people, some algebraic structures related to groupoids have yielded algebraic descriptions of homotopy n-types. Further, these descriptions are explicit, and in some cases completely computable, in a way not possible with the traditional Postnikov systems, or with other models, such as simplicial groups. These algebraic st...

On the Equivariant Homotopy of Free Abelian Groups on G-spaces and G-spectra