论文标题

将数字障碍与卫星同态链接

Linking number obstructions to satellite homomorphisms

论文作者

Lidman, Tye, Miller, Allison N., Pinzón-Caicedo, Juanita

论文摘要

我们证明,满足一定阳性条件并且具有缠绕数量的卫星操作不是同态。该参数使用$ d $ invariants的分支封面。在此过程中,我们证明了与$ d $ invariants和Torelli集团有关的技术结果,这可能具有独立的利益。

We prove that satellite operations that satisfy a certain positivity condition and have winding number other than one are not homomorphisms. The argument uses the $d$-invariants of branched covers. In the process, we prove a technical result relating $d$-invariants and the Torelli group which may be of independent interest.

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