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Semitoric integrable systems on symplectic 4-manifolds
| Content Provider | Semantic Scholar |
|---|---|
| Author | Pelayo, A. Ngo, San Vũ |
| Copyright Year | 2009 |
| Abstract | Let (M, ω) be a symplectic4-manifold. A semitoric integrable system on (M, ω) is a pair of smooth functionsJ, H ∈ C∞(M, R) for whichJ generates a Hamiltonian S-action and the Poisson brackets {J, H} vanish. We shall introduce new global symplectic invariant s for these systems; some of these invariants encode topological or geometric aspects, while oth rs 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://www.math.ucsd.edu/~alpelayo/Docs/semitoric.pdf |
| Alternate Webpage(s) | https://perso.univ-rennes1.fr/san.vu-ngoc/articles/semitoric1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Action algebra Checking (action) Computation Connected component (graph theory) Contain (action) Emoticon Encode (action) Hamiltonian (quantum mechanics) Invariant (computer science) Michael Sipser Miranda Oracle Fusion Architecture Poly dA-dT Polynomial Quadratic function Subgroup Symplectic integrator |
| Content Type | Text |
| Resource Type | Article |
