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
Keywords: F-manifolds; Frobenius manifolds; Lie algebroids
@article{10_5817_AM2019_2_109,
author = {Cruz Morales, John Alexander and Torres-Gomez, Alexander},
title = {On {F-algebroids} and {Dubrovin{\textquoteright}s} duality},
journal = {Archivum mathematicum},
pages = {109--122},
publisher = {mathdoc},
volume = {55},
number = {2},
year = {2019},
doi = {10.5817/AM2019-2-109},
mrnumber = {3964438},
zbl = {07088762},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2019-2-109/}
}
TY - JOUR AU - Cruz Morales, John Alexander AU - Torres-Gomez, Alexander TI - On F-algebroids and Dubrovin’s duality JO - Archivum mathematicum PY - 2019 SP - 109 EP - 122 VL - 55 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2019-2-109/ DO - 10.5817/AM2019-2-109 LA - en ID - 10_5817_AM2019_2_109 ER -
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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
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