Solutions to a topological gauge theory of the group, GL(3,) x T3, were identified with the geometries of rectilinear topological defects in solid continua. The defect solutions were characterized by isolated singularities of holomorphic functions, and corresponded to disclinations and dislocations of both planar and screw type. Dislocations were represented as dipoles of disclinations. The interrelationship between the defect solutions and the geometries of elementary particles in (2 + 1)-dimensional gravity was examined.

Line Defects in Solid Continua and Point Particles in (2+1)-Dimensional Gravity. C.Kohler: Classical and Quantum Gravity, 1995, 12, 2977-93