Symplectic singularities of isotropic mappings
Goo Ishikawa, Stanisław Janeczko (2004)
Banach Center Publications
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Goo Ishikawa, Stanisław Janeczko (2004)
Banach Center Publications
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Hiroshi Ohta, Kaoru Ono (2009)
Banach Center Publications
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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. ...
Dusa McDuff (1991)
Inventiones mathematicae
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Stefano Vidussi (2007)
Journal of the European Mathematical Society
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We show that there exists a family of simply connected, symplectic 4-manifolds such that the (Poincaré dual of the) canonical class admits both connected and disconnected symplectic representatives. This answers a question raised by Fintushel and Stern.
Karl Friedrich Siburg (1993)
Manuscripta mathematica
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V. Guillemin, S. Sternberg (1989)
Inventiones mathematicae
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Baohua Fu, Yoshinori Namikawa (2004)
Annales de l’institut Fourier
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We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of non-isomorphic symplectic resolutions for 4- dimensional symplectic singularities is proved. We also give an example of a symplectic singularity which admits two non-equivalent symplectic resolutions.
L. Polterovich (1996)
Geometric and functional analysis
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Takeo Nishinou (2004)
Mathematica Bohemica
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We perform symplectic embeddings of ‘thin’ discs into a small ball in arbitrary dimension, using the symplectic folding construction.
Augustin Banyaga (1980)
Inventiones mathematicae
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