Topological recursive relations in $H^{2g}(M_{g,n})$

Eleny-Nicoleta Ionel

Topological recursive relations in $H^{2g}(M_{g,n})$

代数几何 2007-05-23 v2 微分几何辛几何

作者: Eleny-Nicoleta Ionel

摘要

We show that any degree at least $g$ polynomial in descendant or tautological classes vanishes on $M_{g,n}$ when $g\ge 2$ . 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 2 points combined with the degeneration formulas of [IP1]. At the end of the paper, we also included a quick proof of a very recent conjecture made by Vakil.

关键词

vanishing theorem

引用

@article{arxiv.math/9908060,
  title  = {Topological recursive relations in $H^{2g}(M_{g,n})$},
  author = {Eleny-Nicoleta Ionel},
  journal= {arXiv preprint arXiv:math/9908060},
  year   = {2007}
}

备注

AMS-LaTeX, 27 pages, improved exposition

Topological recursive relations in $H^{2g}(M_{g,n})$

摘要

关键词

引用

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