Results 71 to 80 of about 1,844 (204)

Toric Geometry of the Regular Convex Polyhedra

open access: yesJournal 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

The Higgs mechanism — Hasse diagrams for symplectic singularities

open access: yesJournal 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   +6 more
doaj   +1 more source

Formality and the Lefschetz property in symplectic and cosymplectic geometry

open access: yesComplex Manifolds, 2015
We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply ...
Bazzoni Giovanni   +2 more
doaj   +1 more source

AXIOMATIC INVESTIGATIONS ON SYMPLECTIC GEOMETRY

open access: yesDemonstratio Mathematica, 1993
Consider a commutative field \(F\), an \(F\)-vector space \(V\) (not necessarily of finite dimension), an alternating bilinear form \(\xi : V \times V \to F\), and the corresponding relations \(\|\) and \(\perp\) of parallelism and orthogonality on the set \(V\).
Muzalewski, Michał   +1 more
openaire   +1 more source

Geometric Models for Lie–Hamilton Systems on ℝ2

open access: yesMathematics, 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

Modal Parameters Identification Method Based on Symplectic Geometry Model Decomposition

open access: yesShock and Vibration, 2019
This paper proposes a novel method of structural system modal identification, where the iterative method is introduced in symplectic geometric model decomposition (SGMD).
Hang Jin   +3 more
doaj   +1 more source

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