Results 31 to 40 of about 1,124,071 (202)
Lagrangian Submanifolds of Symplectic Structures Induced by Divergence Functions
Entropy, 2020 Divergence functions play a relevant role in Information Geometry as they allow for the introduction of a Riemannian metric and a dual connection structure on a finite dimensional manifold of probability distributions.
Marco Favretti
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Mirror of Atiyah flop in symplectic geometry and stability conditions [PDF]
, 2017 We study the mirror operation of the Atiyah flop in symplectic geometry. We formulate the operation for a symplectic manifold with a Lagrangian fibration.
Yu-Wei Fan +3 more
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Locally conformally symplectic and Kähler geometry [PDF]
EMS Surveys in Mathematical Sciences, 2017 The goal of this note is to give an introduction to locally conformally symplectic and Kahler geometry. In particular, Sections 1 and 3 aim to provide the reader with enough mathematical background to appreciate this kind of geometry.
Giovanni Bazzoni
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Gerbes in Geometry, Field Theory, and Quantisation
Complex Manifolds, 2021 This is a mostly self-contained survey article about bundle gerbes and some of their recent applications in geometry, field theory, and quantisation.
Bunk Severin
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Generalized Bergman kernels on symplectic manifolds of bounded geometry [PDF]
Communications in Partial Differential Equations, 2018 We study the asymptotic behavior of the generalized Bergman kernel of the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle on a symplectic manifold of bounded geometry.
Y. Kordyukov, X. Ma, G. Marinescu
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Conformally symplectic structures and the Lefschetz condition
Comptes Rendus. MathématiqueThis short note provides a symplectic analogue of Vaisman’s theorem in complex geometry. Namely, for any compact symplectic manifold satisfying the hard Lefschetz condition in degree 1, every locally conformally symplectic structure is in fact globally ...
Lejmi, Mehdi, Wilson, Scott O.
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Extended Riemannian geometry II: local heterotic double field theory
Journal of High Energy Physics, 2018 We continue our exploration of local Double Field Theory (DFT) in terms of symplectic graded manifolds carrying compatible derivations and study the case of heterotic DFT.
Andreas Deser +2 more
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Birational geometry of symplectic quotient singularities [PDF]
Inventiones Mathematicae, 2018 For a finite subgroup Γ⊂SL(2,C)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
G. Bellamy, Alastair Craw
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Deformations of Pre-Symplectic Structures: a Dirac Geometry Approach [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 We explain the geometric origin of the $L_{\infty}$-algebra controlling deformations of pre-symplectic structures.
Florian Schatz, M. Zambon
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Geometric Quantization and Epistemically Restricted Theories: The Continuous Case [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 It is possible to reproduce the quantum features of quantum states, starting from a classical statistical theory and then limiting the amount of knowledge that an agent can have about an individual system [5, 18].These are so called epistemic ...
Ivan Contreras, Ali Nabi Duman
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