On semi-global invariants for focus–focus singularities

By San Vũ Ngọc. 2002

120 citations recorded by the source corpus.

Abstract This article gives a classification, up to symplectic equivalence, of singular Lagrangian foliations given by a completely integrable system of a four-dimensional symplectic manifold, in a full neighbourhood of a singular leaf of focus – focus type.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/049b540af4bf04d1c86928dbc0efd7fea6ca40c6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. 'Alvaro Pelayo
2. San Vũ Ngọc
3. N. Leung
4. Margaret Symington
5. Renato Vianna
6. A. Stipsicz
7. Zolt'an Szab'o
8. James Pascaleff

In Statistical and Nonlinear Physics

1. Margaret Symington
2. 'Alvaro Pelayo
3. N. Leung
4. San Vũ Ngọc

Citations in the corpus

• Constructing integrable systems of semitoric type (2009, background): “Some of the invariants are geometric, others are analytic and others are combinatorial/group-theoretic.”
• Symplectic theory of completely integrable Hamiltonian systems (2011, unknown): “D S] 1 J un 2 01”
• Almost toric symplectic four-manifolds (2003, background): “[31] has identified a non-trivial invariant that classifies the germs of such neighborhoods up to fiberwise symplectomorphism.”