On F-algebroids and Dubrovin’s duality
Archivum mathematicum, Tome 55 (2019) no. 2, pp. 109-122.

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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.
DOI : 10.5817/AM2019-2-109
Classification : 53C15, 53D45
Keywords: F-manifolds; Frobenius manifolds; Lie algebroids
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Cruz Morales, John Alexander; Torres-Gomez, Alexander. On F-algebroids and Dubrovin’s duality. Archivum mathematicum, Tome 55 (2019) no. 2, pp. 109-122. doi : 10.5817/AM2019-2-109. http://geodesic.mathdoc.fr/articles/10.5817/AM2019-2-109/

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