Results 51 to 60 of about 1,140,852 (279)

Generalised Complex Geometry in Thermodynamical Fluctuation Theory

Entropy, 2015
We present a brief overview of some key concepts in the theory of generalized complex manifolds. This new geometry interpolates, so to speak, between symplectic geometry and complex geometry.
P. Fernández de Córdoba, J. M. Isidro
doaj   +1 more source

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
semanticscholar   +1 more source

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, Hansol Hong, Siu-Cheong Lau, S. Yau   +3 more
semanticscholar   +1 more source

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
semanticscholar   +1 more source

Conformally symplectic structures and the Lefschetz condition

Comptes Rendus. Mathématique
This 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.
doaj   +1 more source

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, Marc Andre Heller, Christian Sämann   +2 more
doaj   +1 more source

Categorified Symplectic Geometry and the String Lie 2-Algebra

, 2009
Multisymplectic geometry is a generalization of symplectic geometry suitable for n-dimensional field theories, in which the nondegenerate 2-form of symplectic geometry is replaced by a nondegenerate (n+1)-form. The case n = 2 is relevant to string theory:
Baez, John C., Rogers, Christopher L.
core   +1 more source

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
semanticscholar   +1 more source

Symplectic resolutions of quiver varieties [PDF]

, 2019
In this article, we consider Nakajima quiver varieties from the point of view of symplectic algebraic geometry. We prove that they are all symplectic singularities in the sense of Beauville and completely classify which admit symplectic resolutions ...
Bellamy, Gwyn, Schedler, Travis
core   +3 more sources

From Tools in Symplectic and Poisson Geometry to J.-M. Souriau's Theories of Statistical Mechanics and Thermodynamics [PDF]

Entropy, 2016
I present in this paper some tools in symplectic and Poisson geometry in view of their applications in geometric mechanics and mathematical physics.
C. Marle
semanticscholar   +1 more source