Hyperkähler manifolds
Nigel Hitchin (1991-1992)
Séminaire Bourbaki
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Displaying similar documents to “Mirror symmetry in dimension 3”
Hyperkähler manifolds
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Jean-Pierre Demailly, Thomas Peternell, Michael Schneider (1996)
Compositio Mathematica
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Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz
Andrei Moroianu (1999)
Annales de l'institut Fourier
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We describe all compact spin Kähler manifolds of even complex dimension and positive scalar curvature with least possible first eigenvalue of the Dirac operator.
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Jean-Pierre Demailly, Thomas Peternell, Michael Schneider (1993)
Compositio Mathematica
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Holomorphic Cartan geometries and rational curves
Indranil Biswas, Benjamin McKay (2016)
Complex Manifolds
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We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold. This shows that many complex manifolds admit no or few holomorphic Cartan geometries.
The Seiberg-Witten invariants of symplectic four-manifolds
Dieter Kotschick (1995-1996)
Séminaire Bourbaki
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Closed transverse -forms on compact complex manifolds
Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
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Geometric algebraicity of moduli spaces of compact Kähler symplectic manifolds.
F. Compana (1989)
Journal für die reine und angewandte Mathematik
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