  This work develops some technology for accessing the loop expansion of the
Kontsevich integral of a knot. The setting is an application of the LMO
invariant to certain surgery presentations of knots by framed links in the
solid torus. A consequence of this technology is a certain recent conjecture of
Rozansky's. Rozansky conjectured that the Kontsevich integral could be
organised into a series of ``lines'' which could be represented by finite
$\Qset$-linear combinations of diagrams whose edges were labelled, in an
appropriate sense, with rational functions. Furthermore, the conjecture
requires that the denominator of the rational functions be at most the
Alexander polynomial of the knot. This conjecture is obtained from an
Aarhus-style surgery formula for this setting which we expect will have other
applications.
