Mirror symmetry for concavex vector bundles on projective spaces
Let X⊂Y be smooth, projective manifolds. Assume that ι:X→ℙs is the zero locus of a generic section of V+=⊕i∈I𝒪(ki), where all the ki's are positive. Assume furthermore that 𝒩X/Y=ι∗(V−), where V−=⊕j∈J𝒪(−lj) and all the lj's are negative. We show that under appropriate restrictions, the gene...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203112136 |
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| Summary: | Let X⊂Y be smooth, projective manifolds. Assume that
ι:X→ℙs is the zero locus of a generic section of V+=⊕i∈I𝒪(ki), where all the ki's are positive. Assume furthermore that 𝒩X/Y=ι∗(V−), where V−=⊕j∈J𝒪(−lj) and all the lj'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 ℙs. This leads to local mirror symmetry on the A-side. |
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| ISSN: | 0161-1712 1687-0425 |