Cubics, Integrable Systems, and Calabi-yau Threefolds

  title={Cubics, Integrable Systems, and Calabi-yau Threefolds},
  • Published 1994
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… CONTINUE READING
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