Abstract.
We show that any degree at least g monomial in descendant or tautological classes vanishes on ℳ g,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].
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Oblatum 24-X-2000 & 14-XI-2001¶Published online: 18 February 2002
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Ionel, EN. Topological recursive relations in H2g(ℳg,n). Invent. math. 148, 627–658 (2002). https://doi.org/10.1007/s002220100205
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DOI: https://doi.org/10.1007/s002220100205