4 citations · 6 across the 7 of their papers we have counts for
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The structure of monotone blow-ups in symplectic toric geometry and a question of McDuff
Álvaro Pelayo, Francisco Santos
Monotone polytopes, also known as smooth reflexive polytopes, are the polytopes associated to monotone symplectic toric manifolds and Gorenstein Fano toric varieties. We first show…
Symplectic invariants of semitoric systems and the inverse problem for quantum systems
Álvaro Pelayo
Simple semitoric systems were classified about ten years ago in terms of a collection of invariants, essentially given by a convex polygon with some marked points corresponding to…
Symplectic actions of non-Hamiltonian type
Álvaro Pelayo
Hamiltonian symplectic actions of tori on compact symplectic manifolds have been extensively studied in the past thirty years, and a number of classifications have been achieved, f…
The affine invariant of generalized semitoric systems
Álvaro Pelayo, Tudor S. Ratiu, San Vũ Ngoc
A generalized semitoric system F:=(J,H): M --> R^2 on a symplectic 4-manifold is an integrable system whose essential properties are that F is a proper map, its set of regular valu…
Sharp symplectic embeddings of cylinders
Álvaro Pelayo, San Vũ Ngoc
We show that the cylinder Z^{2n}(1):= B^2(1)\times \mathbb{R}^{2(n-1)} embeds symplectically into B^4(R) \times \mathbb{R}^{2(n-2)} if R \geq \sqrt{3}.
Log-concavity and symplectic flows
Yi Lin, Álvaro Pelayo
Let M be a compact, connected symplectic 2n-dimensional manifold on which an(n-2)-dimensional torus T acts effectively and Hamiltonianly. Under the assumption that there is an effe…