Virtual localization for relative obstruction theories and stable log maps

Abstract: 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.

algebraic geometry

Audience: researchers in the topic

( slides | video )

Stanford algebraic geometry seminar

Series comments: The seminar was online for a significant period of time, but for now is solely in person. More seminar information (including slides and videos, when available): agstanford.com