论文标题

剪接图和剪接质质表面奇异性

Splice diagrams and splice-quotient surface singularities

论文作者

Wahl, Jonathan

论文摘要

目前的作品将出现在庆祝数学卷中,以纪念沃尔特·诺伊曼(Walter Neumann)。我们总结了与Neumann长期合作的结果和方法,尤其是引入剪接图来定义剪接类型和剪接质疑奇异性的奇异性的动机。讨论了卡森不变的猜想和米尔诺纤维猜想,以及与积分同源性球形链接的超表面和完整交点奇异性的一些开放性问题。

The current work will appear in a Celebratio Mathematica volume in honor of Walter Neumann. We summarize results and methods from our long-time collaboration with Neumann, especially the motivation for the introduction of splice diagrams to define singularities of splice type and splice-quotient singularities. The Casson Invariant Conjecture and Milnor Fiber Conjectures are discussed, as well as some open questions about hypersurface and complete intersection singularities with integral homology sphere link.

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