Quantum cohomology of a Pfaffian Calabi-Yau variety: verifying mirror symmetry predictions
Abstract
Description
We formulate a generalization of Givental-Kim's quantum hyperplane principle. This is applied to compute the quantum cohomology of a Calabi-Yau 3-fold defined as the rank 4 locus of a general skew-symmetric 7x7 matrix with coeffisients in P^6. The computation verifies the mirror symmetry predictions of Rødland in math.AG/9801092.
10 pages. Minor modifications and references added. To appear in Compositio Mathematica
10 pages. Minor modifications and references added. To appear in Compositio Mathematica