Cubics, Integrable Systems, and Calabi-Yau Threefolds
| dc.creator | Donagi, Ron | |
| dc.creator | Markman, Eyal | |
| dc.date | 1994-08-09 | |
| dc.date.accessioned | 2026-07-07T09:06:09Z | |
| dc.date.available | 2026-07-07T09:06:09Z | |
| dc.description | In this work we construct an analytically completely integrable Hamiltonian system which is canonically associated to any family of Calabi-Yau threefolds. The base of this system is a moduli space of gauged Calabi-Yaus in the family, and the fibers are Deligne cohomology groups (or intermediate Jacobians) of the threefolds. This system has several interesting properties: the multivalued sections obtained as Abel-Jacobi images, or ``normal functions'', of a family of curves on the generic variety of the family, are always Lagrangian; the natural affine coordinates on the base, which are used in the mirror correspondence, arise as action variables for the integrable system; and the Yukawa cubic, expressing the infinitesimal variation of Hodge structure in the family, is essentially equivalent to the symplectic structure on the total space. | |
| dc.description | 28 p., Latex | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9408004 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9408004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149913 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Cubics, Integrable Systems, and Calabi-Yau Threefolds | |
| dc.type | text |