Recursion Operators and Frobenius Manifolds

In this note I exhibit a ''discrete homotopy'' which joins the category of F-manifolds to the category of Poisson-Nijenhuis manifolds, passing through the category of Frobenius manifolds.

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2012
Main Author: Magri, F.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/148723
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Recursion Operators and Frobenius Manifolds / F. Magri // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 4 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Magri, F.
author_facet Magri, F.
citation_txt Recursion Operators and Frobenius Manifolds / F. Magri // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 4 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description In this note I exhibit a ''discrete homotopy'' which joins the category of F-manifolds to the category of Poisson-Nijenhuis manifolds, passing through the category of Frobenius manifolds.
first_indexed 2025-11-25T20:49:30Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-11-25T20:49:30Z
publishDate 2012
publisher Інститут математики НАН України
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spelling Magri, F.
2019-02-18T18:11:01Z
2019-02-18T18:11:01Z
2012
Recursion Operators and Frobenius Manifolds / F. Magri // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 4 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 35D45; 53D17; 37K10
DOI: http://dx.doi.org/10.3842/SIGMA.2012.076
https://nasplib.isofts.kiev.ua/handle/123456789/148723
In this note I exhibit a ''discrete homotopy'' which joins the category of F-manifolds to the category of Poisson-Nijenhuis manifolds, passing through the category of Frobenius manifolds.
This paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html.
 This note is a first account of a lasting research work done in collaboration with B. Konopelchenko. To him I address my warm acknowledgements for the permission to use part of the common work to prepare the conference and this note. Many thanks are also due to B. Dubrovin for the kind invitation to attend the conference on Geometrical Methods in Mathematical Physics.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Recursion Operators and Frobenius Manifolds
Article
published earlier
spellingShingle Recursion Operators and Frobenius Manifolds
Magri, F.
title Recursion Operators and Frobenius Manifolds
title_full Recursion Operators and Frobenius Manifolds
title_fullStr Recursion Operators and Frobenius Manifolds
title_full_unstemmed Recursion Operators and Frobenius Manifolds
title_short Recursion Operators and Frobenius Manifolds
title_sort recursion operators and frobenius manifolds
url https://nasplib.isofts.kiev.ua/handle/123456789/148723
work_keys_str_mv AT magrif recursionoperatorsandfrobeniusmanifolds