  The Cauchy problem for the Chern-Simons-Higgs system in the (2+1)-dimensional
Minkowski space in temporal gauge is globally well-posed in energy space
improving a result of Huh. The proof uses the bilinear space-time estimates in
wave-Sobolev spaces by d'Ancona, Foschi and Selberg, an $L^6_x L^2_t$-estimate
for solutions of the wave equation, and also takes advantage of a null
condition.
