| Note on a Conjecture of Gopakumar-Vafa |
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| 引用本文： | Jun LI,Baosen WU. Note on a Conjecture of Gopakumar-Vafa[J]. 数学年刊B辑(英文版), 2006, 27(2): 219-242. DOI: 10.1007/s11401-006-0038-2 |
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| 作者姓名： | Jun LI Baosen WU |
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| 基金项目： | Partially supported by NSF grants DMS-0200477 and DMS-0233550. |
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| 摘 要： | We rephrase the Gopakumar-Vafa conjecture on genus zero Gromov-Witten invariants of Calabi-Yau threefolds in terms of the virtual degree of the moduli of pure dimension one stable sheaves and investigate the conjecture for K3 fibred local Calabi-Yau threefolds.
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| 关 键 词： | Gromov-Witten不变式 Gopakumar-Vafa猜想 稳定束 曲率 几何学 |
| 收稿时间： | 2006-02-07 |
Note on a Conjecture of Gopakumar-Vafa |
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| Jun LI and Baosen WU. Note on a Conjecture of Gopakumar-Vafa[J]. Chinese Annals of Mathematics,Series B, 2006, 27(2): 219-242. DOI: 10.1007/s11401-006-0038-2 |
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| Authors: | Jun LI and Baosen WU |
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| Affiliation: | Dedicated to the memory of Shiing-Shen Chern |
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| Abstract: | We rephrase the Gopakumar-Vafa conjecture on genus zero Gromov-Witten invariants of Calabi-Yau threefolds in terms of the virtual degree of the moduli of pure dimension one stable sheaves and investigate the conjecture for K3 fibred local Calabi-Yau threefolds. |
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| Keywords: | Calabi-Yau threefold Gromov-Witten invariants Moduli of stable sheaves |
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