8 citations · 18 across the 5 of their papers we have counts for
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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…
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…