Zobrazeno 1 - 10
of 56
pro vyhledávání: '"53D05, 53D17"'
We develop the deformation theory of symplectic foliations, i.e. regular foliations equipped with a leafwise symplectic form. The main result of this paper is that each symplectic foliation has an attached $L_\infty$-algebra controlling its deformati
Externí odkaz:
http://arxiv.org/abs/2110.05298
Lectures on Symplectic Geometry, Poisson Geometry, Deformation Quantization and Quantum Field Theory
Autor:
Moshayedi, Nima
These are lecture notes for the course "Poisson geometry and deformation quantization" given by the author during the fall semester 2020 at the University of Zurich. The first chapter is an introduction to differential geometry, where we cover manifo
Externí odkaz:
http://arxiv.org/abs/2012.14662
Autor:
Villatoro, Joel
This thesis is divided into four chapters. The first chapter discusses the relationship between stacks on a site and groupoids internal to the site. It includes a rigorous proof of the folklore result that there is an equivalence between the bicatego
Externí odkaz:
http://arxiv.org/abs/1806.01939
Autor:
Lanius, Melinda
Given a compact oriented surface, we classify log Poisson bi-vectors whose degeneracy loci are locally modeled by a finite set of lines in the plane intersecting at a point. Further, we compute the Poisson cohomology of such structures and discuss th
Externí odkaz:
http://arxiv.org/abs/1705.01793
Autor:
Villatoro, Joel
Publikováno v:
Journal of Symplectic Geometry (2021), Volume 19, No. 3, 723-775
We compute the Picard group of a stable b-symplectic manifold $M$ by introducing a collection of discrete invariants $\mathfrak{Gr}$ which classify $M$ up to Morita equivalence.
Externí odkaz:
http://arxiv.org/abs/1609.05406
Autor:
Lanius, Melinda
We compute the Poisson cohomology of a class of Poisson manifolds that are symplectic away from a collection $D$ of hypersurfaces. These Poisson structures induce a generalization of symplectic and cosymplectic structures, which we call a k-cosymplec
Externí odkaz:
http://arxiv.org/abs/1605.03854
Autor:
Nakamura, Tomoya
We study deformations of symplectic structures on a smooth manifold $M$ via the quasi-Poisson theory. By a fact, we can deform a given symplectic structure $\omega $ to a new symplectic structure $\omega_t$ parametrized by some element $t$ in $\Lambd
Externí odkaz:
http://arxiv.org/abs/1605.02448
Autor:
Miranda, Eva
In this note we prove that an analytic symplectic action of a semisimple Lie algebra can be locally linearized in Darboux coordinates. This result yields simultaneous analytic linearization for Hamiltonian vector fields in a neighbourhood of a common
Externí odkaz:
http://arxiv.org/abs/1503.03840
Publikováno v:
Math. Res. Lett. 24 (2017), no. 2, 363-377
In [GMPS] we proved that the moment map image of a $b$-symplectic toric manifold is a convex $b$-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on $b$-symplectic manifolds. The mod
Externí odkaz:
http://arxiv.org/abs/1412.2488
Autor:
Hirota, Yuji
We define prequantization for Dirac manifolds to generalize known procedures for Poisson and (pre) symplectic manifolds by using characteristic distributions obtained from 2-cocycles associated to Dirac structures. Given a Dirac manifold $(M,D)$, we
Externí odkaz:
http://arxiv.org/abs/1311.1360