On F-Algebroids and Dubrovin's Duality
Differential Geometry
2019-04-10 v2 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1805.08086,
title = {On F-Algebroids and Dubrovin's Duality},
author = {John Alexander Cruz Morales and Alexander Torres-Gomez},
journal= {arXiv preprint arXiv:1805.08086},
year = {2019}
}
Comments
13 pages; v2 has small changes, it has improved exposition. Revised version to appear in: "Archivum Mathematicum"