Topological recursive relations in H2g(ℳg,n)
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- Ionel, EN. Invent. math. (2002) 148: 627. doi:10.1007/s002220100205
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We show that any degree at least g monomial in descendant or tautological classes vanishes on ℳg,n when g≥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 ℙ1 relative to two points combined with the degeneration formulas of [IP1].