摘要翻译:
我们给出了一组完全确定商轨道c^3/z_3的所有等变Gromov-Witten不变量的递推关系。我们将这类不变量解释为G-Hodge积分,并通过射影线上扭稳定映射到gerbes的模空间上的Atiyah-Bott局部化得到它们之间的关系。
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英文标题:
《Gerby Localization, Z_3-Hodge Integrals and the GW Theory of C^3/Z_3》
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作者:
Charles Cadman and Renzo Cavalieri
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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:
We exhibit a set of recursive relations that completely determine all equivariant Gromov-Witten invariants of the quotient orbifold C^3/Z_3. We interpret such invariants as G-Hodge Integrals, and produce relations among them via Atiyah-Bott localization on moduli spaces of twisted stable maps to gerbes over the projective line.
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PDF链接:
https://arxiv.org/pdf/0705.2158