论文标题

理性同源磁盘平滑和Lefschetz振动

Rational homology disk smoothings and Lefschetz fibrations

论文作者

Choi, Hakho

论文摘要

在本文中,我们通过将属引入Lefschetz纤维的通用纤维中,从而概括了[Arxiv:1004.3762]中讨论的结果。也就是说,我们在映射属属-1表面的映射类中的关系家族具有代表加权均匀表面奇异性的理性同源性磁盘平滑性的边界,其分辨率图的分辨率为$ 3 $ - 带有不良的中央顶点。

In this article, we generalize the results discussed in [arXiv:1004.3762] by introducing a genus to generic fibers of Lefschetz fibrations. That is, we give families of relations in the mapping class groups of genus-1 surfaces with boundaries that represent rational homology disk smoothings of weighted homogeneous surface singularities whose resolution graphs are $3$-legged with a bad central vertex.

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