Results 11 to 20 of about 110,516 (135)
An approach to stability analyses in general relativity via symplectic geometry [PDF]
Arabian Journal of Mathematics, 2019 We begin with a review of the statements of non-linear, linear and mode stability of autonomous dynamical systems in classical mechanics, using symplectic geometry.
Prashant Kocherlakota, P. Joshi
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Fast symplectic integrator for Nesterov-type acceleration method [PDF]
Japan journal of industrial and applied mathematics, 2021 In this paper, explicit stable integrators based on symplectic and contact geometries are proposed for a family of non-autonomous ordinarily differential equations (ODEs) found in improving convergence rate of Nesterov’s accelerated gradient method ...
S. Goto, H. Hino
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Airy structures and symplectic geometry of topological recursion [PDF]
Proceedings of Symposia in Pure Mathematics, 2017 We propose a new approach to the topological recursion of Eynard-Orantin based on the notion of Airy structure, which we introduce in the paper. We explain why Airy structure is a more fundamental object than the one of the spectral curve. We explain how
M. Kontsevich, Y. Soibelman
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Symplectic geometric flows [PDF]
Pure and Applied Mathematics Quarterly, 2021 Several geometric flows on symplectic manifolds are introduced which are potentially of interest in symplectic geometry and topology. They are motivated by the Type IIA flow and T-duality between flows in symplectic geometry and flows in complex geometry.
Teng Fei, D. Phong
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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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Symplectic Geometry of a Moduli Space of Framed Higgs Bundles [PDF]
International mathematics research notices, 2018 Let $X$ be a compact connected Riemann surface and $D$ an effective divisor on $X$. Let ${\mathcal N}_H(r,d)$ denote the moduli space of $D$-twisted stable Higgs bundles (a special class of Hitchin pairs) on $X$ of rank $r$ and degree $d$.
I. Biswas +2 more
semanticscholar +1 more source
Quantized anti de Sitter spaces and non-formal deformation quantizations of symplectic symmetric spaces [PDF]
, 2007 We realize quantized anti de Sitter space black holes, building Connes spectral triples, similar to those used for quantized spheres but based on Universal Deformation Quantization Formulas (UDF) obtained from an oscillatory integral kernel on an ...
Bieliavsky, Pierre +3 more
core +2 more sources
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 and Poisson geometry on b-manifolds [PDF]
, 2012 Let $M^{2n}$ be a Poisson manifold with Poisson bivector field $\Pi$. We say that $M$ is b-Poisson if the map $\Pi^n:M\to\Lambda^{2n}(TM)$ intersects the zero section transversally on a codimension one submanifold $Z\subset M$.
Ana Rita Pires +30 more
core +4 more sources
The Gromov width of complex Grassmannians [PDF]
, 2005 We show that the Gromov width of the Grassmannian of complex k-planes in C^n is equal to one when the symplectic form is normalized so that it generates the integral cohomology in degree 2. We deduce the lower bound from more general results. For example,
Biran +7 more
core +3 more sources