The vacuum expectation values of Wilson line operators $<W(L)>$ in the Chern-Simons theory are computed to second order of perturbation theory. The meaning of the framing procedure for knots is analyzed in the context of the Chern-Simons field theory. The relation between $<W(L)>$ and the link invariant polynomials is discussed. We derive an explicit analytic expression for the second coefficient of the Alexander-Conway polynomial, which is related to the ARF and Casson invariants. We present also some new relations between the HOMFLY coefficients.
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