  A method for determining the orbit types of the action of the group of gauge
transformations on the space of connections for gauge theories with gauge group
SU(n) in space-time dimension d<=4 is presented. The method is based on the
1:1-correspondence between orbit types and holonomy-induced Howe subbundles of
the underlying principal SU(n)-bundle. It is shown that the orbit types are
labelled by certain cohomology elements of space-time satisfying two relations.
Thus, for every principal SU(n)-bundle the corresponding stratification of the
gauge orbit space can be determined explicitly. As an application, a criterion
characterizing kinematical nodes for physical states in 2+1-dimensional
Chern-Simons theory proposed by Asorey et al. is discussed.
