Speaker: Zhengyu Zong (Columbia)
Title: The two-leg orbifold Gromov-Witten vertex
Abstract: For toric Calabi-Yau 3-orbifolds, the orbifold GW theory is obtained by gluing the orbifold GW vertex, a generating function of cubic abelian Hurwitz-Hodge integrals. In this talk, I will give a formula of the 2-leg orbifold GW vertex. After computing the effective and gerby 1-leg orbifold GW vertex, the computation of the 2-leg orbifold GW vertex can be reduced to the 1-leg cases. I will also talk about the combinatorial aspects (in particular, the Gromov-Witten/Donaldson-Thomas correspondence) of both the 1-leg and 2-leg cases. This work is joint with Dustin Ross.