Extremal Gromov-Witten invariants of Hilbert schemes of points
on surfaces -- Wei-Ping Li, April 22, 2011                                                     
                                           
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The Hilbert-Chow map from the Hilbert scheme of points on a
  surface to the symmetric product of the surface is a
  contraction with the extremal ray generated by a rational
  curve. We will discuss the computation of the Gromov-Witten
  invariants of the Hilbert scheme with respect to this curve
  class.  The main techniques are the cosection method of
  Kiem and J. Li and the computation of Gromov-Witten invariants
  for the Hilbert scheme of the complex plane by Okounkov and
  Pandharipande.