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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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.
L. Polterovich (1996)
Geometric and functional analysis
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I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Wojciech Domitrz (2009)
Fundamenta Mathematicae
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We study the local symplectic algebra of parameterized curves introduced by V. I. Arnold. We use the method of algebraic restrictions to classify symplectic singularities of quasi-homogeneous curves. We prove that the space of algebraic restrictions of closed 2-forms to the germ of a 𝕂-analytic curve is a finite-dimensional vector space. We also show that the action of local diffeomorphisms preserving the quasi-homogeneous curve on this vector space is determined by the infinitesimal...
Bekka, M.B., Neuhauser, M. (2002)
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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.
Karl Friedrich Siburg (1993)
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Annales mathématiques Blaise Pascal
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This is a survey written in an expositional style on the topic of symplectic singularities and symplectic resolutions.