  Let $L$ and $N$ be two smooth manifolds of the same dimension. Let $j\colon
L\to T^*N$ be an exact Lagrange embedding. We denote the free loop space of $X$
by $\Lambda X$. C. Viterbo constructed a transfer map $(\Lambda j)^! \colon
H^*(\Lambda L) \to H^*(\Lambda N)$. This transfer was constructed using finite
dimensional approximation of Floer homology. In this paper we define a family
of finite dimensional approximations and realize this transfer as a map of Thom
spectra: $(\Lambda j)_! \colon (\Lambda N)^{-TN} \to (\Lambda L)^{-TL+\eta}$,
where $\eta$ is a virtual vector bundle classified by the tangential
information of $j$.
