  We relate the version of rational Symplectic Field Theory for exact
Lagrangian cobordisms introduced in [5] with linearized Legendrian contact
homology. More precisely, if $L\subset X$ is an exact Lagrangian submanifold of
an exact symplectic manifold with convex end $\Lambda\subset Y$, where $Y$ is a
contact manifold and $\Lambda$ is a Legendrian submanifold, and if $L$ has
empty concave end, then the linearized Legendrian contact cohomology of
$\Lambda$, linearized with respect to the augmentation induced by $L$, equals
the rational SFT of $(X,L)$. Following ideas of P. Seidel, this equality in
combination with a version of Lagrangian Floer cohomology of $L$ leads us to a
conjectural exact sequence which in particular implies that if $X=\C^{n}$ then
the linearized Legendrian contact cohomology of $\Lambda\subset S^{2n-1}$ is
isomorphic to the singular homology of $L$. We outline a proof of the
conjecture and show how to interpret the duality exact sequence for linearized
contact homology of [6] in terms of the resulting isomorphism.
