Geometry & Physics

Date:  Monday, February 04, 2013
Location:  4088 East Hall (4:00 PM to 6:00 PM)

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. So the orbifold GW vertex can be viewed as the building block of the orbifold GW theory of toric Calabi-Yau 3-orbifolds. 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.


Speaker:  Zhengyu Zong
Institution:  Columbia

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