摘要翻译:
Getzler公式将给定簇X上不同点的有序元组空间的S_n-等变Hodge-Deligne多项式与X的Hodge-Deligne多项式联系起来,得到了当X具有非平凡自同构群时该公式的类似式。将具有不同自同构群的$\mathcal{M}_2$的所有层集合起来,导出了$\mathcal{M}_2,n}$的s_n-等变欧拉特性的一个公式。
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英文标题:
《On the S_n-equivariant Euler characteristic of M_{2,n}》
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作者:
E. Gorsky
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
The Getzler's formula relates the S_n-equivariant Hodge-Deligne polynomial of the space of ordered tuples of distinct points on a given variety X with the Hodge-Deligne polynomial of X. We obtain the analogue of this formula for the case when X has a nontrivial automorphism group. Collecting together all strata of $\mathcal{M}_2$ with different automorphism groups, we derive a formula for the S_n-equivariant Euler characteristic of $\mathcal{M}_{2,n}$.
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PDF链接:
https://arxiv.org/pdf/0707.2662