On F-Algebroids and Dubrovin's Duality
John Alexander Cruz Morales, Alexander Torres-Gomez
TL;DR
This paper introduces F-algebroids, explores their properties, and provides a new perspective on Dubrovin's almost duality for Frobenius manifolds through the lens of cotangent F-algebroids.
Contribution
It defines F-algebroids and describes their elementary properties, offering a novel interpretation of Dubrovin's duality via cotangent F-algebroids.
Findings
Introduction of F-algebroids and their properties
Description of Frobenius manifold duality using cotangent F-algebroids
New perspective on Dubrovin's duality
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models