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

Tom 85 / 2009

Hiroshi Ohta, Kaoru Ono Banach Center Publications 85 (2009), 93-100 MSC: Primary 57R17; Secondary 32S25, 53D05. DOI: 10.4064/bc85-0-6

Streszczenie

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.

Autorzy

  • Hiroshi OhtaGraduate School of Mathematics
    Nagoya University
    Nagoya, 464-8602, Japan
    e-mail
  • Kaoru OnoDepartment of Mathematics
    Hokkaido University
    Sapporo, 060-0810, Japan
    e-mail

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