  We demonstrate a way to apply $S^1$-localisation to moduli spaces of
holomorphic curves. We first prove a reinterpretation of Atyiah-Bott
$S^1$-localisation, called {\it localisation by pseudocycles} (LbP), for a
smooth semifree $S^1$-action on a manifold. We demonstrate that, for certain
moduli spaces of holomorphic curves parametrised by some stratum of the
homotopy quotient of a manifold, we may ``lift" the LbP procedure from the
parameter space to the moduli space. As an application we deduce relations
between equivariant symplectic classes and Gromov-Witten invariants, thus
proving a conjecture of Seidel.
