Flops, motives, and invariance of quantum rings

• 成果类型: Article
• 署名作者: Lee, Yuan-Pin; Lin, Hui-Wen; Wang, Chin-Lung
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.172.243
• 发表日期: 2010
• 页码: 243-290
• 关键词: witten; FORMULA

摘要

For ordinary flops, the correspondence defined by the graph closure is shown to give equivalence of Chow motives and to preserve the Poincare pairing. In the case of simple ordinary flops, this correspondence preserves the big quantum cohomology ring after an analytic continuation over the extended Kahler moduli space. For Mukai flops, it is shown that the birational map for the local models is deformation equivalent to isomorphisms. This implies that the birational map induces isomorphisms on the full quantum theory and all the quantum corrections attached to the extremal ray vanish.