Line defects in solid continua and point particles in (2+1)-dimensional gravity

Solutions of a topological gauge theory of the group GL(3, R) x T-3 are identified with geometries of rectilinear topological defects in solid continua. The defect solutions are classified by isolated singularities of holomorphic functions and correspond to disclinations and dislocations, both of planar and screw type. Dislocations are represented as dipoles of disclinations. The interrelationship of the defect solutions with geometries of elementary particles in (2 + 1)-dimensional gravity is discussed.