Tom Graber (Jul23, 2021): Virtual localization for relative obstruction theories and stable log maps
Channel: Algebraic Geometry at Stanford
Date: 2021-07-26

I will discuss how to formulate and prove a localization theorem for the virtual fundamental class of a moduli space with a relative perfect obstruction theory over a singular base.  In the motivating example of the moduli space of stable log maps, I will explain how this leads to sums over types of tropical curves and cycle classes on moduli spaces of curves related to the double ramification cycle that have been of recent interest in other contexts.