Invariants of hypergeometric groups for Calabi-Yau complete intersections in weighted projective spaces

Abstract

Let Y be a Calabi-Yau complete intersection in a weighted projective space. We show that the space of quadratic invariants of the hypergeometric group associated with the twisted I-function is one-dimensional, and spanned by the Gram matrix of a split-generator of the derived category of coherent sheaves on Y with respect to the Euler form.

23 pages, 2 figures, v2: revised following referee's comments

References in corpus (2)

• An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
• Stokes Matrix for the Quantum Cohomology of Cubic Surfaces