Splice diagrams and splice-quotient surface singularities

Jonathan Wahl

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arXiv · 2202.00587

Splice diagrams and splice-quotient surface singularities

Jonathan Wahl

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Abstract

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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Jonathan Wahl. 2022-02-01. Splice diagrams and splice-quotient surface singularities. https://arxiv.org/abs/2202.00587

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