Semitoric integrable systems on symplectic 4-manifolds

Content Provider	Semantic Scholar
Author	Pelayo, A.
Abstract	Let (M, ω) be a symplectic 4-manifold. A semitoric integrable system on (M, ω) is a pair of smooth functions J, H ∈ C ∞ (M, R) for which J generates a Hamiltonian S 1-action and the Poisson brackets {J, H} vanish. We shall introduce new global symplectic invariants for these systems; some of these invariants encode topological or geometric aspects, while others encode analytical information about the singularities and how they stand with respect to the system. Our goal is to prove that a semitoric system is completely determined by the invariants we introduce.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/0806.1946v1.pdf
Language	English
Access Restriction	Open
Subject Keyword	Encode (action) Hamiltonian (quantum mechanics) Invariant (computer science) Symplectic integrator
Content Type	Text
Resource Type	Article