Reducing a 3-dimensional Chem-Simons term by a symmetry yields other t
opologically interesting structures. Specifically, reducing by radial
symmetry results in a 1-dimensional quantum mechanical model, which ha
s recently been used in an analysis of finite-temperature Chern-Simons
theory. The radially symmetric expression may be inserted into 3-dime
nsional monopole or (2 + 1)-dimensional instanton equations, where it
eliminates the monopole or instanton solutions. (C) 1998 Elsevier Scie
nce B.V.