This note is intended to be a friendly introduction to virtual classes. We review virtual classes and we give a number of properties and applications. We also include a new virtual push-forward theorem and many computations of virtual classes in simple examples.
@article{arxiv.1804.06048,
title = {Virtual classes for the working mathematician},
author = {Luca Battistella and Francesca Carocci and Cristina Manolache},
journal= {arXiv preprint arXiv:1804.06048},
year = {2020}
}