On the quantum cohomology of Fano bundles over projective spaces

Details On the quantum cohomology of Fano bundles over projective spaces On the quantum cohomology of Fano bundles over projective spaces

2000-12-07

arxiv.org/abs/math/0012046v2

Mathematics

Algebraic Geometry

5 pages, plain TeX. The mistaken identity (4), together with some statements, has been corrected

Scientific paper

In their paper "Quantum cohomology of projective bundles over $P^n$" (Trans. Am. Math. Soc. (1998)350:9 3615-3638) Z.Qin and Y.Ruan introduce interesting techniques for the computation of the quantum ring of manifolds which are projectivized bundles over projective spaces; in particular, in the case of splitting bundles they prove under some restrictions the formula of Batyrev about the quantum ring of toric manifolds. Here we prove the formula of Batyrev on the quantum Chern-Leray equation for a large class of splitting bundles.

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