Geodesic
Frobenius 3-folds via singular flat 3-webs
Symmetry, integrability and geometry: methods and applications, Tome 8 (2012) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Sergey I. Agafonov},
     title = {Frobenius 3-folds via singular flat 3-webs},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a77/}
}
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Sergey I. Agafonov. Frobenius 3-folds via singular flat 3-webs. Symmetry, integrability and geometry: methods and applications, Tome 8 (2012). http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a77/

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