  A crown diagram of a smooth, closed oriented 4-manifold can be thought of as
the projection of a link in the product of a closed surface and the circle,
with chords in the circle direction connecting the strands of each crossing.
This paper uses a straightforward assignment of integers to these chords to
show that the smooth structures on the topological 4-manifold underlying a pair
of Fintushel-Stern knot surgery 4-manifolds which are known to have the same
Seiberg-Witten invariant are not isotopic. A natural question is to determine
if the argument may be strengthened to show these manifolds are not
diffeomorphic.
