Battistella, Carocci, Manolache — Virtual Classes For The Working Mathematician (2020)

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Luca Battistella, Francesca Carocci, Cristina Manolache. Virtual Classes for the Working Mathematician. Symmetry, Integrability and Geometry: Methods and Applications. 2020.

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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.