Another Note on Focus-Focus Singularities

By Nguyen Tien Zung. 2001

48 citations recorded by the source corpus.

AbstractWe show a natural relation between the monodromy formula for focus-focus singularities of integrable Hamiltonian systems and a formula of Duistermaat–Heckman, and extend the main results of our previous note ( $$\mathbb{S}$$ 1-action, monodromy, and topological classification) to the case of degenerate focus-focus singularities. We also consider the non-Hamiltonian case, local normal forms, etc.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9eec8a9692925733c14228b153f5e0b7662c4db0

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. C. Wacheux
2. San Vũ Ngọc
3. 'Alvaro Pelayo

In Statistical and Nonlinear Physics

1. C. Wacheux
2. San Vũ Ngọc

Citations in the corpus

• Smooth normal forms for integrable Hamiltonian systems near a focus–focus singularity (2011, background): “A proof of the result in the smooth category is given in [13] as the consequence of the existence of an S1-action in a tubular neighborhood of a focus–focus fiber.”