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Download fileOn deformation and classification of V-Systems
journal contribution
posted on 2014-11-07, 09:09 authored by Veronika Schreiber, Alexander VeselovAlexander VeselovThe ∨-systems are special finite sets of covectors which appeared in the theory of the generalized Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. Several families of ∨-systems are known, but their classification is an open problem. We derive the relations describing the infinitesimal deformations of ∨-systems and use them to study the classification problem for ∨-systems in dimension three. We discuss also possible matroidal structures of ∨-systems in relation with projective geometry and give the catalogue of all known irreducible rank three ∨-systems.
Funding
The work of APV was partly supported by the EPSRC (grant EP/J00488X/1).
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Nonlinear Mathematical PhysicsVolume
21Issue
4Pages
543 - 583 (41)Citation
SCHREIBER, V. and VESELOV, A.P., 2014. On deformation and classification of V-Systems. Journal of Nonlinear Mathematical Physics, 21 (4), pp. 543 - 583.Publisher
Co-published by Atlantis Press and Taylor & Francis (© 2014 The Authors)Version
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution 4.0 International (CC BY 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/Publication date
2014Notes
This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence (http://creativecommons.org/licenses/by/4.0/). It was published in the Journal of Nonlinear Mathematical Physics on 14 October 2014, available online: http://www.tandfonline.com/10.1080/14029251.2014.975528ISSN
1402-9251Publisher version
Language
- en