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.
References
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.
Solutions 0
No solutions have been posted yet.