Đề tài " The equivariant GromovWitten theory of P1 "
We present here the second in a sequence of three papers devoted to
the Gromov-Witten theory of nonsingular target curves X. Let ω ∈ H2(X,Q)
denote the Poincar´e dual of the point class. In the first paper [24], we considered
the stationary sector of the Gromov-Witten theory of X formed by the
descendents of ω. The stationary sector was identified in [24] with the Hurwitz
theory of X with completed cycle insertions.
The target P1 plays a distinguished role in the Gromov-Witten theory of
target curves. Since P1 admits a C∗-action, equivariant localization may be
used to study Gromov-Witten invariants [12]. The equivariant Poincar´e duals,...