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

• Autorzy: Hiroshi Ohta , Kaoru Ono
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53D05: Symplectic manifolds, general
• 32S25: Surface and hypersurface singularities
• 57R17: Symplectic and contact topology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 85
• Numer: 1
• Strony: 93-100

Daty

wydano

2009

Twórcy

autor

Hiroshi Ohta

• Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan

autor

Kaoru Ono

• Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

Identyfikatory

DOI

10.4064/bc85-0-6