Virasoro constraints and descendant Hurwitz-Hodge Integrals
  Virasoro constraints are applied to degree zero Gromov-Witten theory of weighted projective stacks $\mathbb{P}(1,N)$ and $\mathbb{P}(1,1,N)$ to obtain formulas of descendant cyclic Hurwitz-Hodge integrals in higher genera. 
Yunfeng Jiang, Hsian-Hua Tseng