The existence of topological defects, known as skyrmions, within the s
pin excitons energy band of a 2D electron gas under a strong magnetic
field at filling factor nu = 1 is investigated within the Hartree-Fock
approximation. Using the linear momentum representation, it is shown
that the inhomogeneity created in the system by a charged skyrmion can
be described by a nonuniform rotation of the spin density operators i
n a condensate of spin excitons. (C) 1995 American Institute of Physic
s.