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On the Casson Invariant Conjecture of Neumann--Wahl

Algebraic Geometry 2025-12-16 v1 Geometric Topology

Abstract

In the article we prove the Casson Invariant Conjecture of Neumann--Wahl for splice type surface singularities. Namely, for such an isolated complete intersection, whose link is an integral homology sphere, we show that the Casson invariant of the link is one-eighth the signature of the Milnor fiber.

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Cite

@article{arxiv.math/0610465,
  title  = {On the Casson Invariant Conjecture of Neumann--Wahl},
  author = {Andras Nemethi and Tomohiro Okuma},
  journal= {arXiv preprint arXiv:math/0610465},
  year   = {2025}
}

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10 pages