On F-algebroids and Dubrovin’s duality

John Alexander Cruz Morales; Alexander Torres-Gomez

Archivum Mathematicum (2019)

  • Volume: 055, Issue: 2, page 109-122
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Cruz Morales, John Alexander, and Torres-Gomez, Alexander. "On F-algebroids and Dubrovin’s duality." Archivum Mathematicum 055.2 (2019): 109-122. <http://eudml.org/doc/294772>.

@article{CruzMorales2019,
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.},
author = {Cruz Morales, John Alexander, Torres-Gomez, Alexander},
journal = {Archivum Mathematicum},
keywords = {F-manifolds; Frobenius manifolds; Lie algebroids},
language = {eng},
number = {2},
pages = {109-122},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On F-algebroids and Dubrovin’s duality},
url = {http://eudml.org/doc/294772},
volume = {055},
year = {2019},
}

TY - JOUR
AU - Cruz Morales, John Alexander
AU - Torres-Gomez, Alexander
TI - On F-algebroids and Dubrovin’s duality
JO - Archivum Mathematicum
PY - 2019
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 055
IS - 2
SP - 109
EP - 122
AB - 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.
LA - eng
KW - F-manifolds; Frobenius manifolds; Lie algebroids
UR - http://eudml.org/doc/294772
ER -

References

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