Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911

   
 
 

 

On the Casson Invariant Conjecture of Neumann–Wahl


Authors: András Némethi and Tomohiro Okuma
Journal: J. Algebraic Geom. 18 (2009), 135-149
DOI: https://doi.org/10.1090/S1056-3911-08-00493-1
Published electronically: March 4, 2008
MathSciNet review: 2448281
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Abstract | References | Additional Information

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


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András Némethi
Affiliation: Rényi Institute of Mathematics, Budapest, Hungary
Email: nemethi@renyi.hu

Tomohiro Okuma
Affiliation: Department of Education, Yamagata University, Yamagata 990-8560, Japan
MR Author ID: 619386
Email: okuma@e.yamagata-u.ac.jp

Received by editor(s): October 31, 2006
Received by editor(s) in revised form: August 17, 2007
Published electronically: March 4, 2008
Additional Notes: The first author was partially supported by NSF grant DMS-0605323, a Marie Curie grant and OTKA grants. The second author was partially supported by the Grant-in-Aid for Young Scientists (B), The Ministry of Education, Culture, Sports, Science and Technology, Japan