Luca Battistella, Francesca Carocci, Cristina Manolache, “Virtual Classes for the Working Mathematician”, SIGMA, 2020, Volume 16,026, 38 pp.

This article is cited in 1 paper

Virtual Classes for the Working Mathematician

Luca Battistella^a, Francesca Carocci^b, Cristina Manolache^c

^a Mathematikon, Im Neuenheimer Feld 205, 69120 Heidelberg, Germany
^b JCMB, Peter Guthrie Tait Road, Edinburgh EH9 3FD, UK
^c Hicks building, 226 Hounsfield Rd, Broomhall, Sheffield S3 7RH, UK

Abstract: 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.

Keywords: intersection theory, virtual classes, Gromov–Witten theory, moduli spaces.

MSC: 14C17, 14N35, 14D23

Received: October 3, 2019; in final form March 25, 2020; Published online April 9, 2020

Language: English

DOI: 10.3842/SIGMA.2020.026