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arxiv: 1805.08086 · v2 · pith:R23EY2HLnew · submitted 2018-05-21 · 🧮 math.DG · math.AG

On F-Algebroids and Dubrovin's Duality

classification 🧮 math.DG math.AG
keywords dualitydubrovinf-algebroidalmostanchorcompositionconceptcotangent
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In this note we introduce the concept of F-algebroid, and give its elementary properties and some examples. We provide a description of the almost duality for Frobenius manifolds, introduced by Dubrovin, in terms of a composition of two anchor maps of a unique cotangent F-algebroid.

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