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The spin and statistics of solitons in the (2+1) - and (3+1) -dimensional nonlinear models is considered. For the (2+1) -dimensional case, there is the possibility of fractional spin and exotic statistics; for 3+1 dimensions the usual spin-statistics relation is demonstrated. The linking-number interpretation of the Hopf invariant and the use of suspension considerably simplify the analysis.
Wilczek et al. (Mon,) studied this question.