Basalaev, A and Buryak, A (2019) Open WDVV equations and Virasoro constraints. Arnold Mathematical Journal, 5 (2-3). pp. 145-186. ISSN 2199-6792
Abstract
In their fundamental work, Dubrovin and Zhang, generalizing the Virasoro equations for the genus 0Gromov–Witten invariants, proved theVirasoro equations for a descendent potential in genus 0 of an arbitrary conformal Frobenius manifold. More recently, a remarkable system of partial differential equations, called the open WDVV equations, appeared in the work of Horev and Solomon. This system controls the genus 0 open Gromov–Witten invariants. In our paper, for an arbitrary solution of the open WDVV equations, satisfying a certain homogeneity condition, we construct a descendent potential in genus 0 and prove an open analog of the Virasoro equations.We also present conjectural open Virasoro equations in all genera and discuss some examples.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2019 This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
Keywords: | Riemann surface; Moduli space; WDVV equations |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 03 Jul 2019 14:32 |
Last Modified: | 20 Jan 2020 16:36 |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/s40598-019-00115-w |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:148082 |
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