  For a Fano manifold M, complex conjugation defines a real involution on the
quantum cohomology ring. For the Grassmannian we identify this involution with
an explicit transformation on Schubert classes defined over the integers. It is
a composition of a power of the cyclic action recently defined by Agnihotri and
Woodward with Poincare duality. The existence of the involution has been
observed independently and from a different point of view by Postnikov
(math.CO/0205165).
