Topological recursive relations in H2g(Mg,n)

被引：49

作者：

Ionel, EN ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

INVENTIONES MATHEMATICAE | 2002年 / 148卷 / 03期

关键词：

D O I：

10.1007/s002220100205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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].

引用

页码：627 / 658

页数：32

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