chriswacheux19 mars 20181 min de lectureThis is a convex set !As we said in the previous post, for a semi-toric system the image of the moment map is the intersection between the epigraph and the...
Christophe Wacheux14 juin 20163 min de lectureAn Atiyah - Guillemin & Sternberg theorem for semi-toric systemsGiven a Hamiltonian action of a k-torus T on a symplectic manifold M of dimension 2n with moment map J:M --> R^k, a theorem discovered by...
Christophe Wacheux1 avr. 20151 min de lectureDescribing semi-toric critical valuesFor a toric integrable Hamiltonian system (IHS) with n degrees of freedom, the image of the moment map F is a n-dimensional rational...
Christophe Wacheux20 mars 20151 min de lectureAsymptotics of Action variables near semi-toric singularitiesNear singularities with focus-focus components, the Lagrangian torus foliation given by a semi-toric integrable Hamiltonian system is...