  A classical knot is described by a one-stroke trajectory with entanglements
of a string. The replica method appears as a powerful tool in statistical
mechanics for a polymer or self-avoiding walk. We consider this replica N to 0
limit in Gaussian means of the products of trace of N x N Hermitian matrices,
which provides one-stroke graphs of a knot. The Seifert surfaces of knots and
links are derived by a random matrix model. The zeros of Alexander polynomials
on a unit circle are discussed for the case of n-vertices in the analogy of
Yang-Lee edge singularity. The extension of one matrix model is considered for
higher dimensional knots and for half integral level k in Chern-Simons gauge
theory.
