【摘 要】
：
对于一个满足“强Lefschetz条件”的K?hler SL-G-流形(X,ω),本文在弦上同调Hk(X,G)上构造了一个Hodge结构,在素弦上同调FHk(X,ω,G)上构造了一个极化Hodge结构,然后通过弦Do
【机 构】
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四川师范大学数学科学学院&洛朗·拉福格数学研究中心 成都610068;重庆师范大学数学科学学院 重庆401331
论文部分内容阅读
对于一个满足“强Lefschetz条件”的K?hler SL-G-流形(X,ω),本文在弦上同调Hk(X,G)上构造了一个Hodge结构,在素弦上同调FHk(X,ω,G)上构造了一个极化Hodge结构,然后通过弦Dolbeault上同调H*,*(X,G)在H*(X,G)上得到了一个被X上所有K?hler类所极化的混合Hodge结构.所有这些(极化混合)Hodge结构都附带一个自然的G-作用.本文证明这些(极化混合)Hodge结构的G-不变部分同构于对应的整体商K?hler SL-轨形(X=[X/G],σ)的Chen-Ruan上同调群的(极化混合)Hodge结构,其中σ是由ω所诱导的X上的K?hler形式.
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