Quantum Hyperplane Section Theorem For Homogeneous Spaces

Mathematics – Algebraic Geometry

Scientific paper

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24 pages, LaTeX 2e. The presentation is improved a lot

Scientific paper

We formulated a mirror-free approach to the mirror conjecture, namely,
quantum hyperplane section conjecture, and proved it in the case of nonnegative
complete intersections in homogeneous manifolds. For the proof we followed the
scheme of Givental's proof of a mirror theorem for toric complete
intersections.

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