Frobenius 3-Folds via Singular Flat 3-Webs
classification
🧮 math.DG
nlin.SI
keywords
germformfrobeniussingularadmitsassociativitychernconditions
read the original 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.
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