Invariants of hypergeometric groups for Calabi-Yau complete intersections in weighted projective spaces
COMMUNICATIONS IN NUMBER THEORY AND PHYSICS, vol.7, no.2, pp.327-359, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 7 Issue: 2
- Publication Date: 2013
- Doi Number: 10.4310/cntp.2013.v7.n2.a4
- Journal Name: COMMUNICATIONS IN NUMBER THEORY AND PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.327-359
- Open Archive Collection: AVESIS Open Access Collection
- Galatasaray University Affiliated: Yes
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.