Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds

• 成果类型: Article
• 署名作者: Maulik, D.; Oblomkov, A.; Okounkov, A.; Pandharipande, R.
• 署名单位: Princeton University; Columbia University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-011-0322-y
• 发表日期: 2011
• 页码: 435-479
• 关键词: witten invariants; INTEGRALS; FORMULA

摘要

We prove the equivariant Gromov-Witten theory of a nonsingular toric 3-fold X with primary insertions is equivalent to the equivariant Donaldson-Thomas theory of X. As a corollary, the topological vertex calculations by Agangic, Klemm, Marino, and Vafa of the Gromov-Witten theory of local Calabi-Yau toric 3-folds are proven to be correct in the full 3-leg setting.