Abstract: |
The Gamma class is a new characteristic class introduced by Iritani and Katzarkov-Kontsevich-Pantev about five years ago. It has been extensively studied in forthcoming work of Hori and Romo, who derive it from path integral considerations. We will explain how this class is related to a perturbative analysis (in the 2D nonlinear sigma model) of the Kähler moduli of a Calabi--Yau manifold of arbitrary dimension, and some consequences of that relationship. This is a preliminary report on work in progress with Halverson, Jockers, Lapan, and Romo. |