On the Casson Invariant Conjecture of Neumann--Wahl

2006/10/16 by András Némethi, Nemethi, Andras, Tomohiro Okuma +1
Mathematics · #Geometric and Algebraic Topology #Algebraic Geometry and Number Theory #Holomorphic and Operator Theory

paper · doi:10.48550/arxiv.math/0610465

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.

Related

• Splice diagrams and splice-quotient surface singularities
• Seiberg-Witten invariants and surface singularities III. Splicings and cyclic covers
• Instanton Floer homology and Milnor Fibers
• Casson-type invariants from the Seiberg-Witten equations
• The Milnor fiber conjecture of Neumann and Wahl, and an overview of its proof