Frobenius 3-Folds via Singular Flat 3-Webs

@article{Agafonov2012Frobenius3V,
  title={Frobenius 3-Folds via Singular Flat 3-Webs},
  author={Sergey I. Agafonov},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2012},
  volume={8},
  pages={078}
}
  • S. Agafonov
  • Published 2 June 2012
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
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. 
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