Topological recursive relations in H2g(Mg,n)

• 成果类型: Article
• 署名作者: Ionel, EN
• 署名单位: University of Wisconsin System; University of Wisconsin Madison
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s002220100205
• 发表日期: 2002
• 页码: 627-658
• 关键词: moduli space; CURVES

摘要

We show that any degree at least g monomial in descendant or tautological classes vanishes on M-g,M-n when g greater than or equal to 2. This generalizes a result of Looijenga and proves a version of Getzler's conjecture. The method we use is the study of the relative Gromov-Witten invariants of P-1 relative to two points combined with the degeneration formulas of [IP1].