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Mathematics > Differential Geometry

arXiv:1805.08086 (math)
[Submitted on 21 May 2018 (v1), last revised 9 Apr 2019 (this version, v2)]

Title:On F-Algebroids and Dubrovin's Duality

Authors:John Alexander Cruz Morales, Alexander Torres-Gomez
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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.
Comments: 13 pages; v2 has small changes, it has improved exposition. Revised version to appear in: "Archivum Mathematicum"
Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG)
Cite as: arXiv:1805.08086 [math.DG]
  (or arXiv:1805.08086v2 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.1805.08086

Submission history

From: Alexander Torres Gomez Dr. [view email]
[v1] Mon, 21 May 2018 14:21:54 UTC (10 KB)
[v2] Tue, 9 Apr 2019 12:01:21 UTC (10 KB)
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