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On the $ \overline{\mu}$-invariant of rational surface singularities


Author: András I. Stipsicz
Journal: Proc. Amer. Math. Soc. 136 (2008), 3815-3823
MSC (2000): Primary 14J17, 57M27
Published electronically: May 28, 2008
MathSciNet review: 2425720
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Abstract: We show that for rational surface singularities with odd determinant the $ \overline{\mu}$-invariant defined by W. Neumann is an obstruction for the link of the singularity to bound a rational homology 4-ball. We identify the $ \overline{\mu}$-invariant with the corresponding correction term in Heegaard Floer theory.


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András I. Stipsicz
Affiliation: Rényi Institute of Mathematics, H-1053 Budapest, Reáltanoda utca 13–15, Hungary - and - Department of Mathematics, Columbia University, New York, New York 10027
Email: stipsicz@math-inst.hu, stipsicz@math.columbia.edu

DOI: https://doi.org/10.1090/S0002-9939-08-09439-2
Received by editor(s): September 28, 2007
Published electronically: May 28, 2008
Communicated by: Daniel Ruberman
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.