152 citations · 375 across the 47 of their papers we have counts for
4 papers · 1 filter
Symplectic Origami
A. Cannas da Silva, V. Guillemin, A. R. Pires
An origami manifold is a manifold equipped with a closed 2-form which is symplectic except on a hypersurface where it is like the pullback of a symplectic form by a folding map and…
Hearing Delzant polytopes from the equivariant spectrum
Emily B. Dryden, Victor Guillemin, Rosa Sena-Dias
Let M^{2n} be a symplectic toric manifold with a fixed T^n-action and with a toric Kähler metric g. Abreu asked whether the spectrum of the Laplace operator on $\mathcal{C}^\…
Semiclassical Spectral Invariants for Schrödinger Operators
Victor Guillemin, Zuoqin Wang
In this article we study the semiclassical spectral measures associated with Schrödinger operators on . In particular we compute the first few coefficients of the asymptotic e…
Some Remarks About Semiclassical Trace Invariants and Quantum Normal Forms
Victor Guillemin, Thierry Paul
In this paper we explore the connection between semi-classical and quantum Birkhoff canonical forms (BCF) for Schrodinger operators. In particular we give a "non-symbolic" operator…