Mirror symmetry for concavex vector bundles on projective spaces

Artur Elezi

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-39

Abstract:

Let X ⊂ Y be smooth, projective manifolds. Assume that ι : X → ℙ s is the zero locus of a generic section of V + = ⊕ i ∈ I 𝒪 ( k i ) , where all the k i 's are positive. Assume furthermore that 𝒩 X / Y = ι ∗ ( V − ) , where V − = ⊕ j ∈ J 𝒪 ( − l j ) and all the l j 's are negative. We show that under appropriate restrictions, the generalized Gromov-Witten invariants of X inherited from Y can be calculated via a modified Gromov-Witten theory on ℙ s . This leads to local mirror symmetry on the A -side.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:701632

DOI: 10.1155/S0161171203112136

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