Virtual Classes for the Working Mathematician

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Battistella, Luca, Carocci, Francesca, Manolache, Cristina
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210584
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Virtual Classes for the Working Mathematician. Luca Battistella, Francesca Carocci and Cristina Manolache. SIGMA 16 (2020), 026, 38 pages

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.