22 citations · 108 across the 27 of their papers we have counts for
5 papers · 1 filter
Homotopy groups of highly connected Poincare duality complexes
Piotr Beben, Stephen Theriault
Methods are developed to relate the action of a principal fibration to relative Whitehead products in order to determine the homotopy type of certain spaces. The methods are applie…
The mod- homology of the classifying spaces of certain gauge groups
Daisuke Kishimoto, Stephen Theriault
Let be a simply-connected, simple compact Lie group of type , where . Let be the gauge group of the prin…
The homotopy types of -gauge groups over closed, simply-connected four-manifolds
Tseleung So, Stephen Theriault
We determine the number of distinct fibre homotopy types for the gauge groups of principal -bundles over a closed, simply-connected four-manifold.
Odd primary homotopy types of the gauge groups of exceptional Lie groups
Sho Hasui, Daisuke Kishimoto, Tseleung So +1
The -local homotopy types of gauge groups of principal -bundles over are classified when is a compact connected exceptional Lie group without -torsion in homolog…
Suspension splittings and self-maps of flag manifolds
Shizuo Kaji, Stephen Theriault
If is a compact connected Lie group and is a maximal torus, we give a wedge decomposition of by identifying families of idempotents in cohomology. This is used to gi…