  Let M be a closed, oriented, n -manifold, and LM its free loop space.
  Chas and Sullivan defined a commutative algebra structure in the homology of
LM, and a Lie algebra structure in its equivariant homology. These structures
are known as the string topology loop product and string bracket, respectively.
  In this paper we prove that these structures are homotopy invariants in the
following sense.
  Let f : M_1 \to M_2 be a homotopy equivalence of closed, oriented n
-manifolds. Then the induced equivalence, Lf : LM_1 \to LM_2 induces a ring
isomorphism in homology, and an isomorphism of Lie algebras in equivariant
homology. The analogous statement also holds true for any generalized homology
theory h_* that supports an orientation of the M_i 's.
