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

Hiroshi Ohta; Kaoru Ono

Banach Center Publications (2009)

  • Volume: 85, Issue: 1, page 93-100
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Hiroshi Ohta, and Kaoru Ono. "An inequality for symplectic fillings of the link of a hypersurface K3 singularity." Banach Center Publications 85.1 (2009): 93-100. <http://eudml.org/doc/282225>.

@article{HiroshiOhta2009,
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.},
author = {Hiroshi Ohta, Kaoru Ono},
journal = {Banach Center Publications},
keywords = {symplectic fillings; isolated singularities of general type; Arnold's 14 exceptional unimodular singularities; surfaces},
language = {eng},
number = {1},
pages = {93-100},
title = {An inequality for symplectic fillings of the link of a hypersurface K3 singularity},
url = {http://eudml.org/doc/282225},
volume = {85},
year = {2009},
}

TY - JOUR
AU - Hiroshi Ohta
AU - Kaoru Ono
TI - An inequality for symplectic fillings of the link of a hypersurface K3 singularity
JO - Banach Center Publications
PY - 2009
VL - 85
IS - 1
SP - 93
EP - 100
AB - 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.
LA - eng
KW - symplectic fillings; isolated singularities of general type; Arnold's 14 exceptional unimodular singularities; surfaces
UR - http://eudml.org/doc/282225
ER -

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