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

Susumu Tanabe, Kazushi Ueda

Published 2013-05-07, updated 2013-09-09Version 2

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.