8 citations · 18 across the 5 of their papers we have counts for
6 papers
The -adic Jaynes-Cummings model in symplectic geometry
Luis Crespo, Álvaro Pelayo
The notion of classical -adic integrable system on a -adic symplectic manifold was proposed by Voevodsky, Warren and the second author a decade ago in analogy with the real c…
Ewald's Conjecture and integer points in algebraic and symplectic toric geometry
Luis Crespo, Álvaro Pelayo, Francisco Santos
We solve several open problems concerning integer points of polytopes arising in symplectic and algebraic geometry. In this direction we give the first proof of a broad case of Ewa…
Semitoric systems of non-simple type
Joseph Palmer, Álvaro Pelayo, Xiudi Tang
Within integrable systems, the class of so called "semitoric" integrable systems in dimension four has attracted a lot of attention in recent years, especially since fundamental ex…
Vu Ngoc's Conjecture on focus-focus singular fibers with multiple pinched points
Álvaro Pelayo, Xiudi Tang
We classify, up to fiberwise symplectomorphisms, a saturated neighborhood of a singular fiber of an integrable system (which is proper onto its image and has connected fibers) cont…
Symplectic -capacities and integrable systems
Alessio Figalli, Joseph Palmer, Álvaro Pelayo
For any Lie group , we construct a -equivariant analogue of symplectic capacities and give examples when , in which case the capacity…
Classifying Toric and Semitoric Fans by Lifting Equations from
Daniel M. Kane, Joseph Palmer, Álvaro Pelayo
We present an algebraic method to study four-dimensional toric varieties by lifting matrix equations from the special linear group to its preimage in the…