Quantum cohomology of a Pfaffian Calabi-Yau variety: verifying mirror symmetry predictions

Details Quantum cohomology of a Pfaffian Calabi-Yau variety: verifying mirror symmetry predictions Quantum cohomology of a Pfaffian Calabi-Yau variety: verifying mirror symmetry predictions

1999-06-18

arxiv.org/abs/math/9906119v3

Mathematics

Algebraic Geometry

10 pages. Minor modifications and references added. To appear in Compositio Mathematica

Scientific paper

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 R\o dland in math.AG/9801092.

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