Results 91 to 100 of about 208,236 (249)

Geometric Models for Lie–Hamilton Systems on ℝ²

Mathematics, 2019
This paper provides a geometric description for Lie−Hamilton systems on R 2 with locally transitive Vessiot−Guldberg Lie algebras through two types of geometric models. The first one is the restriction of a class of Lie−Hamilton
Julia Lange, Javier de Lucas
doaj   +1 more source

A Construction of Multisender Authentication Codes with Sequential Model from Symplectic Geometry over Finite Fields

Journal of Applied Mathematics, 2014
Multisender authentication codes allow a group of senders to construct an authenticated message for a receiver such that the receiver can verify authenticity of the received message.
Shangdi Chen, Chunli Yang
doaj   +1 more source

Symplectic $U_7$, $U_8$ and $U_9$ singularities [PDF]

arXiv, 2013
We use the method of algebraic restrictions to classify symplectic $U_7$, $U_8$ and $U_9$ singularities. We use discrete symplectic invariants to distinguish symplectic singularities of the curves. We also give the geometric description of symplectic classes.
arxiv  

Toric Geometry of the Regular Convex Polyhedra

Journal of Mathematics, 2017
We describe symplectic and complex toric spaces associated with the five regular convex polyhedra. The regular tetrahedron and the cube are rational and simple, the regular octahedron is not simple, the regular dodecahedron is not rational, and the ...
Fiammetta Battaglia, Elisa Prato
doaj   +1 more source

Existence of Symplectic Surfaces [PDF]

Geometry and Topology of Manifolds, 203-217, Fields Inst. Commun., 47, AMS, 2005, 2008
In this paper we show that every degree 2 homology class of a 2n-dimensional symplectic manifold is represented by an immersed symplectic surface if it has positive symplectic area. Moreover, the symplectic surface can be chosen to be embedded if 2n is at least 6. We also analyze the additional conditions under which embedded symplectic representatives
arxiv  

Symplectic $W_8, W_9$ singularities [PDF]

arXiv, 2012
We study the local symplectic algebra of curves. We use the method of algebraic restrictions to classify symplectic $W_8$ and $W_9$ singularities. We use discrete symplectic invariants to distinguish symplectic singularities of the curves. We also give the geometric description of symplectic classes.
arxiv  

The Higgs mechanism — Hasse diagrams for symplectic singularities

Journal of High Energy Physics, 2020
We explore the geometrical structure of Higgs branches of quantum field theories with 8 supercharges in 3, 4, 5 and 6 dimensions. They are symplectic singularities, and as such admit a decomposition (or foliation ) into so-called symplectic leaves, which
Antoine Bourget, Santiago Cabrera, Julius F. Grimminger, Amihay Hanany, Marcus Sperling, Anton Zajac, Zhenghao Zhong   +6 more
doaj   +1 more source

Symplectic Geometry Aspects of the Parametrically-Dependent Kardar-Parisi-Zhang Equation of Spin Glasses Theory, Its Integrability and Related Thermodynamic Stability. [PDF]

Entropy (Basel), 2023
Prykarpatski AK, Pukach PY, Vovk MI.
europepmc   +1 more source

On Symplectic Cobordisms [PDF]

arXiv, 2001
In this note we make several observations concerning symplectic cobordisms. Among other things we show that every contact 3-manifold has infinitely many concave symplectic fillings and that all overtwisted contact 3-manifolds are ``symplectic cobordism equivalent.''
arxiv  

Symplectic fillings of links of quotient surface singularities [PDF]

arXiv, 2008
We study symplectic deformation types of minimal symplectic fillings of links of quotient surface singularities. In particular, there are only finitely many symplectic deformation types for each quotient surface singularity.
arxiv