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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 078, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.078 (Mi sigma755) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Frobenius 3-folds via singular flat 3-webs

Sergey I. Agafonov

Departmento de Matemática, Universidade Federal da Paraiba, João Pessoa, Brazil
Full-text PDF (492 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2012.078
Abstract: We give a geometric interpretation of weighted homogeneous solutions to the associativity equation in terms of the web theory and construct a massive Frobenius $3$-fold germ via a singular $3$-web germ satisfying the following conditions: 1) the web germ admits at least one infinitesimal symmetry, 2) the Chern connection form is holomorphic, 3) the curvature form vanishes identically.
Keywords: Frobenius manifold; hexagonal $3$-web; Chern connection; infinitesimal symmetry.
Received: May 28, 2012; in final form October 17, 2012; Published online October 21, 2012
Bibliographic databases:
Document Type: Article
MSC: 53A60; 53D45; 34M35
Language: English
Citation: Sergey I. Agafonov, “Frobenius 3-folds via singular flat 3-webs”, SIGMA, 8 (2012), 078, 15 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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