On the Casson Invariant Conjecture of Neumann--Wahl

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.

10 pages

References in corpus (4)

• Seiberg--Witten invariants and surface singularities
• Complete intersection singularities of splice type as universal abelian covers
• Complex surface singularities with integral homology sphere links
• Universal abelian covers of certain surface singularities

Cited by in corpus (16)

• The geometric genus of splice-quotient singularities
• Ehrhart theory of polytopes and Seiberg-Witten invariants of plumbed 3-manifolds
• Lattice cohomology and Seiberg-Witten invariants of normal surface singularities
• Invariants of relatively generic structures on normal surface singularities
• Geometry of splice-quotient singularities
• Némethi's division algorithm for zeta-functions of plumbed 3-manifolds
• The multiplicity of abelian covers of splice quotient singularities
• The delta invariant of curves on rational surfaces II: Poincaré series and topological aspects
• Hyperelliptic involutions on generic normal surface singularities
• On the topology of surface singularities {z^n=f(x,y)}, for f irreducible
• Invariants of relatively generic surface singularities II. Images of Abel maps
• Brill-Noether problem on splice quotient singularities and duality of topological Poincaré series
• Base points of natural line bundles on relatively generic surface singularities
• The possible values of geometric genera of normal surface singularities
• Local tropicalizations of splice type surface singularities
• Class of images of Abel maps on normal surface singularities