Results 31 to 40 of about 1,140,852 (279)
The Characterization of Affine Symplectic Curves in ℝ4
Mathematics, 2019 Symplectic geometry arises as the natural geometry of phase-space in the equations of classical mechanics. In this study, we obtain new characterizations of regular symplectic curves with respect to the Frenet frame in four-dimensional symplectic space ...
Esra Çiçek Çetin, Mehmet Bektaş
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The symplectic geometry of higher Auslander algebras: Symmetric products of disks [PDF]
Forum of Mathematics, Sigma, 2019 We show that the perfect derived categories of Iyama’s d-dimensional Auslander algebras of type ${\mathbb {A}}$ are equivalent to the partially wrapped Fukaya categories of the d-fold symmetric product of the $2$-dimensional unit disk with finitely many ...
Tobias Dyckerhoff +2 more
semanticscholar +1 more source
Hamiltonian group actions on symplectic Deligne-Mumford stacks and toric orbifolds [PDF]
, 2009 We develop differential and symplectic geometry of differentiable Deligne-Mumford stacks (orbifolds) including Hamiltonian group actions and symplectic reduction.
Anton Malkin +14 more
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Symplectic geometry and connectivity of spaces of frames [PDF]
Advances in Computational Mathematics, 2018 Frames provide redundant, stable representations of data which have important applications in signal processing. We introduce a connection between symplectic geometry and frame theory and show that many important classes of frames have natural symplectic
Tom Needham, C. Shonkwiler
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Cohomological aspects on complex and symplectic manifolds [PDF]
, 2016 We discuss how quantitative cohomological informations could provide qualitative properties on complex and symplectic manifolds. In particular we focus on the Bott-Chern and the Aeppli cohomology groups in both cases, since they represent useful tools in
A. Aeppli +22 more
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Synthesis of Logical Clifford Operators via Symplectic Geometry [PDF]
International Symposium on Information Theory, 2018 Quantum error-correcting codes can be used to protect qubits involved in quantum computation. This requires that logical operators acting on protected qubits be translated to physical operators (circuits) acting on physical quantum states.
Narayanan Rengaswamy +3 more
semanticscholar +1 more source
Generating functions in Symplectic Geometry
Pesquimat, 2019 In this work, we present a brief introduction to Symplectic Geometry relating its origin with the Physics. Then we present the formal definition of symplectic manifold and some important results, with this we consider a function AH;N defined in the ...
Josué Alonso Aguirre Enciso +1 more
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Symplectic geometry of constrained optimization [PDF]
Regular and Chaotic Dynamics, 2017 These are the notes of rather informal lectures given by the first co-author in UPMC, Paris, in January 2017. Practical goal is to explain how to compute or estimate the Morse index of the second variation. Symplectic geometry allows to effectively do it even for very degenerate problems with complicated constraints. Main geometric and analytic tool is
Agrachev, Andrey, Beschastnyi, Ivan
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Existence and Uniqueness of Weak Homotopy Moment Maps [PDF]
, 2018 In this paper we show that the classical results on the existence and uniqueness of moment maps in symplectic geometry generalize directly to weak homotopy moment maps in multisym- plectic geometry.
Herman, Jonathan
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Symplectic birational geometry [PDF]
, 2009 This is a survey on symplectic birational geometry. In arbitrary dimension, this subject is centered around the notion of uniruledness. In low dimensions, we will also discuss Kodaira dimension and minimality.
Li, Tian-Jun, Ruan, Yongbin
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