The Casson invariant conjecture
The Casson invariant conjecture
Let be the link of a hypersurface or complete intersection singularity, and let be its integral homology-sphere link.
Casson invariant conjecture. The Casson invariant of equals one-eighth the signature of the Milnor fiber.
This conjecture was described as a wildly optimistic assertion concerning links of hypersurface and complete intersection singularities. It is known for singularities of splice type, but the source does not establish it in full generality.
Sources & referencesView supporting material
Primary source
Jonathan Wahl, “Splice diagrams and splice-quotient surface singularities”, arXiv:2202.00587 (2022).
Additional references
2 papers in this index state this conjecture (2013–2022). The statement above is taken from the most recent of them; the others are arXiv:1305.0602.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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