INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES BANACH CENTER PUBLICATIONS ISSN: 0137-6934(p) 1730-6299(e)

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An inequality for symplectic fillings of the link of a hypersurface $K3$ singularity

Hiroshi Ohta¹, Kaoru Ono²
Banach Center Publ. 85 (2009), 93-100
doi:10.4064/bc85-0-6
Abstract: Some relations between normal complex surface singularities and symplectic fillings of the links of the singularities are discussed. For a certain class of singularities of general type, which are called hypersurface $K3$ singularities in this paper, an inequality for numerical invariants of any minimal symplectic fillings of the links of the singularities is derived. This inequality can be regarded as a symplecticćontact analog of the $11/8$-conjecture in $4$-dimensional topology.

MSC (2010): Primary 57R17; Secondary 32S25, 53D05.
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1. Graduate School of Mathematics
   Nagoya University
   Nagoya, 464-8602, Japan
   
2. Department of Mathematics
   Hokkaido University
   Sapporo, 060-0810, Japan
   

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