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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203112136 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567138564440064 |
|---|---|
| author | Artur Elezi |
| author_facet | Artur Elezi |
| author_sort | Artur Elezi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e74e7bf157f943c7a6a3754c1aaea4c3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e74e7bf157f943c7a6a3754c1aaea4c32025-02-03T01:02:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003315919710.1155/S0161171203112136Mirror symmetry for concavex vector bundles on projective spacesArtur Elezi0Department of Mathematics and Statistics, American University, 4400 Massachusetts Avenue, Washington DC 20016, USALet 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.http://dx.doi.org/10.1155/S0161171203112136 |
| spellingShingle | Artur Elezi Mirror symmetry for concavex vector bundles on projective spaces International Journal of Mathematics and Mathematical Sciences |
| title | Mirror symmetry for concavex vector bundles on projective spaces |
| title_full | Mirror symmetry for concavex vector bundles on projective spaces |
| title_fullStr | Mirror symmetry for concavex vector bundles on projective spaces |
| title_full_unstemmed | Mirror symmetry for concavex vector bundles on projective spaces |
| title_short | Mirror symmetry for concavex vector bundles on projective spaces |
| title_sort | mirror symmetry for concavex vector bundles on projective spaces |
| url | http://dx.doi.org/10.1155/S0161171203112136 |
| work_keys_str_mv | AT arturelezi mirrorsymmetryforconcavexvectorbundlesonprojectivespaces |