The Seiberg-Witten invariants of symplectic four-manifolds
Dieter Kotschick (1995-1996)
Séminaire Bourbaki
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Dieter Kotschick (1995-1996)
Séminaire Bourbaki
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Klaus Mohnke (1997)
Banach Center Publications
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We discuss Taubes' idea to perturb the monopole equations on symplectic manifolds to compute the Seiberg-Witten invariants in the light of Witten's symmetry trick in the Kähler case.
Erwan Brugallé, Nicolas Puignau (2013)
Rendiconti del Seminario Matematico della Università di Padova
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Jim Bryan (1997)
Forum mathematicum
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András Stipsicz (1995)
Journal für die reine und angewandte Mathematik
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Hu, Jianxun, Zhang, Hou-Yang (2005)
International Journal of Mathematics and Mathematical Sciences
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Sam Nelson, Jacquelyn L. Rische (2008)
Colloquium Mathematicae
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We define a type of biquandle which is a generalization of symplectic quandles. We use the extra structure of these bilinear biquandles to define new knot and link invariants and give some examples.
M. Gromov (1985)
Inventiones mathematicae
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Luigi Vezzoni (2006)
Bollettino dell'Unione Matematica Italiana
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In this paper we give a generalization of the normal holomorphic frames in symplectic manifolds and find conditions for the integrability of complex structures.
Alessandro Paris, Alexandre Vinogradov (2011)
Open Mathematics
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All second order scalar differential invariants of symplectic hyperbolic and elliptic Monge-Ampère equations with respect to symplectomorphisms are explicitly computed. In particular, it is shown that the number of independent second order invariants is equal to 7, in sharp contrast with general Monge-Ampère equations for which this number is equal to 2. We also introduce a series of invariant differential forms and vector fields which allow us to construct numerous scalar differential...
Lee, Junho, Leung, Naichung Conan (2005)
Geometry & Topology
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Ghiggini, Paolo (2005)
Geometry & Topology
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D. McDuff (1987)
Inventiones mathematicae
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D. Kazhdan, S. Gelfand (1996)
Geometric and functional analysis
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