In this paper the statistical mechanical problem of two topologically linke
d polymers is related to a topological Ginzburg-Landau model coupled to two
Chern-Simons field theories. The Chern-Simons fields play the role of prop
agators of the topological interactions. The effects of the topological con
straints is investigated using the method of effective potential in one-loo
p approximation. (C) 1999 Elsevier Science B.V. All rights reserved.