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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-6,
author = {Hiroshi Ohta and Kaoru Ono},
title = {An inequality for symplectic fillings of the link of a hypersurface K3 singularity},
journal = {Banach Center Publications},
volume = {86},
year = {2009},
pages = {93-100},
zbl = {1176.57028},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-6}
}
Hiroshi Ohta; Kaoru Ono. An inequality for symplectic fillings of the link of a hypersurface K3 singularity. Banach Center Publications, Tome 86 (2009) pp. 93-100. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc85-0-6/