A Formula of the One-leg Orbifold Gromov-Witten Vertex and Gromov-Witten   Invariants of the Local $\cB\bZ_m$ Gerbe
  We give a formula of the framed one-leg orbifold Gromov-Witten vertex where the leg is gerby with isotropy group $\bZ_m$. Then we use this formula to compute the Gromov-Witten invariants of the local $\cB\bZ_m$ gerbe. We will also compute some examples of the degree 1 and degree 2 $\bZ_2$-Hodge integrals. 
Zhengyu Zong
math.AG