  We put forward properties of solitons supported by optical lattices featuring
topological dislocations, and show that solitons experience attractive and
repulsive forces around the dislocations. Suitable arrangements of dislocations
are even found to form soliton traps, and the properties of such solitons are
shown to crucially depend on the trap topology. The uncovered phenomenon opens
a new concept for soliton control and manipulation, e.g., in disk-shaped
Bose-Einstein condensates.
