Exploiting the results of Part I, in the Al case we identify the generators of the algebra of Jacobi forms with the moduli of Hurwitz spaces of meromorphic functions over elliptic curves; then we construct a Frobenius structure on it, computing the free energy and the flat coordinates of the corresponding solution to WDVV equations of associativity. Several examples are given. In the G2 case we find two independent Frobenius structures and we compute the corresponding free energies and flat coordinates
Frobenius manifold structure on orbit space of Jacobi groups; Part II / Bertola, M.. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - 13:3(2000), pp. 213-233. [10.1016/S0926-2245(00)00027-9]
Frobenius manifold structure on orbit space of Jacobi groups; Part II
Bertola, M.
2000-01-01
Abstract
Exploiting the results of Part I, in the Al case we identify the generators of the algebra of Jacobi forms with the moduli of Hurwitz spaces of meromorphic functions over elliptic curves; then we construct a Frobenius structure on it, computing the free energy and the flat coordinates of the corresponding solution to WDVV equations of associativity. Several examples are given. In the G2 case we find two independent Frobenius structures and we compute the corresponding free energies and flat coordinates| File | Dimensione | Formato | |
|---|---|---|---|
|
Bertola-Frobenius manifold structure on orbit space of Jacobi groups. II.pdf
non disponibili
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non specificato
Dimensione
246.29 kB
Formato
Adobe PDF
|
246.29 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
