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SIGMA 8 (2012), 076, 7 pages arXiv:1210.5320
https://doi.org/10.3842/SIGMA.2012.076
Contribution to the Special Issue “Geometrical Methods in Mathematical Physics”
Recursion Operators and Frobenius Manifolds
Franco Magri
Dipartimento di Matematica ed Applicazioni, Università degli Studi di di Milano Bicocca, Via Roberto Cozzi 53, 20125 Milano, Italy
Received June 01, 2012, in final form October 05, 2012; Published online October 19, 2012
Abstract
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.
Key words:
F-manifolds; Frobenius manifolds; Poisson-Nijenhuis manifolds.
pdf (249 kb)
tex (20 kb)
References
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Cambridge Tracts in Mathematics, Vol. 151, Cambridge University
Press, Cambridge, 2002.
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Systems and Quantum Groups (Montecatini Terme, 1993), Lecture
Notes in Math., Vol. 1620, Springer, Berlin, 1996, 120-348,
hep-th/9407018.
- Kosmann-Schwarzbach Y., Magri F., Poisson-Nijenhuis structures, Ann.
Inst. H. Poincaré Phys. Théor. 53 (1990), 35-81.
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