152 citations · 375 across the 47 of their papers we have counts for
3 papers · 1 filter
Toric actions on b-symplectic manifolds
Victor Guillemin, Eva Miranda, Ana Rita Pires +1
We study Hamiltonian actions on -symplectic manifolds with a focus on the effective case of half the dimension of the manifold. In particular, we prove a Delzant-type theorem th…
Canonical forms for perturbations of the harmonic oscillator
Victor Guillemin, Alejandro Uribe, Zuoqin Wang
We consider a class of perturbations of the 2D harmonic oscillator, and of some other dynamical systems, which we show are isomorphic to a function of a toric system (a Birkhoff ca…
Polynomial Assignments
Victor Guillemin, Silvia Sabatini, Catalin Zara
The concept of assignments was introduced in [GGK99] as a method for extracting geometric information about group actions on manifolds from combinatorial data encoded in the infini…