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Inventiones mathematicae

, Volume 148, Issue 3, pp 627–658 | Cite as

Topological recursive relations in H2g(ℳg,n)

  • Eleny-Nicoleta Ionel
Article

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].

Keywords

Modulus Space Branch Point Marked Point Double Point Chow Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Eleny-Nicoleta Ionel
    • 1
  1. 1.Department of Mathematics, University of Wisconsin, Madison, WI 53706, USAUSA

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