An inequality for symplectic fillings of the link of a hypersurface $K3$ singularity
Volume 85 / 2009
Banach Center Publications 85 (2009), 93-100
MSC: Primary 57R17; Secondary 32S25, 53D05.
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 symplectic/contact analog of the $11/8$-conjecture in $4$-dimensional topology.
