论文标题
$ \ overline {\ Mathcal {m} _ {0，n}} $上的二维周期类
Two-dimensional cycle classes on $\overline{\mathcal{M}_{0,n}}$
论文作者
论文摘要
对于每个$ n \ ge5 $，我们给出了$ s_n $ equivariant的基础，$ h_4（\ overline {\ mathcal {m} _ {0，n}}，\ mathbb {q}）$ $ h_ {2（n-5）}（\ overline {\ mathcal {m} _ {0，n}}，\ mathbb {q}）$。存在这样的基础，以$ h_2（\ + overline {\ Mathcal {m} _ {0，n}}，\ mathbb {q}）$和$ h_ {2（n-4）}（\ edimalline {\ mathcal {\ mathcal {m} _ {0，n} _ {0，nsuists for Is Is Is Is in Is Is Is Is Is Is Is Is Is Is Is Is $ h_ {2k}（\ overline {\ mathcal {m} _ {0，n}}，\ mathbb {q}）$当$ 3 \ le le k \ le k \ le n-6 $。
For each $n\ge5$, we give an $S_n$-equivariant basis for $H_4(\overline{\mathcal{M}_{0,n}},\mathbb{Q})$, as well as for $H_{2(n-5)}(\overline{\mathcal{M}_{0,n}},\mathbb{Q})$. Such a basis exists for $H_2(\overline{\mathcal{M}_{0,n}},\mathbb{Q})$ and for $H_{2(n-4)}(\overline{\mathcal{M}_{0,n}},\mathbb{Q})$, but it is not known whether one exists for $H_{2k}(\overline{\mathcal{M}_{0,n}},\mathbb{Q})$ when $3\le k\le n-6$.
