Results 91 to 100 of about 48,683 (227)
Three Natural Generalizations of Fedosov Quantization
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold.
Klaus Bering
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Book Review: Function theory on symplectic manifolds [PDF]
, 2016 Yakov Eliashberg
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Symplectically aspherical manifolds
, 2001 The main subjects of the paper is studying the fundamental groups of closed symplectically aspherical manifolds. Motivated by some results of Gompf, we introduce two classes of fundamental groups $ _1(M)$ of symplectically aspherical manifolds $M$ with $ _2(M)=0$ and $ _2(M)\neq 0$. Relations between these classes are discussed. We show that several
Ibáñez, Raúl +3 more
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Admissible symplectic structures on distributions and codistributions of sub-Riemannian manifolds
Дифференциальная геометрия многообразий фигур, 2018 Extended almost contact metric structures are defined on distribution and codistribution of manifold with sub-Riemannian structure of contact type.
A. Bukusheva
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On matrix description of D-branes
Physics Letters B, 2019 We study the low energy dynamics of a single Dp-brane carrying sufficient large number of D0-brane charges in type IIA theory. We assume the D-brane topology to be R×M2n, where M2n is a closed manifold admitting a symplectic structure.
Qiang Jia
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Small symplectic Calabi-Yau surfaces and exotic 4-manifolds via genus-3\n pencils [PDF]
, 2015 R. İnanç Baykur
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Donaldson Invariants of Symplectic Manifolds [PDF]
International Mathematics Research Notices, 2014 We prove that symplectic 4-manifolds with $b_1 = 0$ and $b^+ > 1$ have nonvanishing Donaldson invariants, and that the canonical class is always a basic class. We also characterize in many situations the basic classes of a Lefschetz fibration over the sphere which evaluate maximally on a generic fiber.
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Covariant Star Product for Exterior Differential Forms on Symplectic Manifolds [PDF]
, 2010 Shannon McCurdy +4 more
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O’Grady tenfolds as moduli spaces of sheaves
Forum of Mathematics, SigmaWe give a lattice-theoretic characterization for a manifold of $\operatorname {\mathrm {OG10}}$ type to be birational to some moduli space of (twisted) sheaves on a K3 surface.
Camilla Felisetti +2 more
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Lefschetz-Bott fibrations on line bundles over symplectic manifolds [PDF]
, 2019 Takahiro Oba
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