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On F-algebroids and Dubrovin’s duality

John Alexander Cruz Morales; Alexander Torres-Gomez — 2019

Archivum Mathematicum

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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