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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 026, 38 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.026 (Mi sigma1563) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Virtual Classes for the Working Mathematician

Luca Battistellaa, Francesca Caroccib, Cristina Manolachec

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
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DOI: https://doi.org/10.3842/SIGMA.2020.026
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.
Funding agency Grant number
Royal Society
Engineering and Physical Sciences Research Council EP/L015234/1
National Science Foundation DMS-1440140
L.B. was supported by a Royal Society 1st Year URF and DHF Research Grant Scheme. C.M. is supported by an EPSRC funded Royal Society Dorothy Hodgkin Fellowship. This work was supported by the Engineering and Physical Sciences Research Council grant EP/L015234/1: the EPSRC Centre for Doctoral Training in Geometry and Number Theory at the Interface. This note was finished while L.B. and C.M. were in residence at the Mathematical Sciences Research Institute in Berkeley, California, during the Spring 2018 semester and it is supported by the National Science Foundation under Grant No. DMS-1440140.
Received: October 3, 2019; in final form March 25, 2020; Published online April 9, 2020
Bibliographic databases:
Document Type: Article
MSC: 14C17, 14N35, 14D23
Language: English
Citation: Luca Battistella, Francesca Carocci, Cristina Manolache, “Virtual Classes for the Working Mathematician”, SIGMA, 16 (2020), 026, 38 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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