Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations
Riley, Andrew ; Strachan, Ian A. B.
arXiv, 0511048 / Harvested from arXiv
Text on arXiv
From any given Frobenius manifold one may construct a so-called dual structure which, while not satisfying the full axioms of a Frobenius manifold, shares many of its essential features, such as the existence of a prepotential satisfying the WDVV equations of associativity. Jacobi group orbit spaces naturally carry the structures of a Frobenius manifold and hence there exists a dual prepotential. In this paper this dual prepotential is constructed and expressed in terms of the elliptic polylogarithm function of Beilinson and Levin.
Publié le : 2005-11-13
Classification:  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  11F55, 53B50, 53D45 
@article{0511048,
     author = {Riley, Andrew and Strachan, Ian A. B.},
     title = {Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV
  equations},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511048}
}

Riley, Andrew; Strachan, Ian A. B. Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV
  equations. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511048/