3 citations · 12 across the 8 of their papers we have counts for
11 papers · 1 filter
Families of four-dimensional integrable systems with -symmetries
Yohann Le Floch, Joseph Palmer
The aim of this paper is to give new insights about families of integrable systems lifting a Hamiltonian -space. Specifically, we study one-parameter families $(M^4,ω,F_t=(J,H…
Packing Densities of Delzant and Semitoric Polygons
Yu Du, Gabriel Kosmacher, Yichen Liu +5
Exploiting the relationship between 4-dimensional toric and semitoric integrable systems with Delzant and semitoric polygons, respectively, we develop techniques to compute certain…
Extending compact Hamiltonian -spaces to integrable systems with mild degeneracies in dimension four
Sonja Hohloch, Joseph Palmer
Given any compact connected four dimensional symplectic manifold and smooth function which generates an effective -action, we show t…
Invariance of immersed Floer cohomology under Lagrangian surgery
Joseph Palmer, Chris Woodward
We show that Floer cohomology of an immersed Lagrangian brane is invariant under smoothing of a self-intersection point if the quantum valuation of the weakly bounding cochain vani…
Semitoric families
Yohann Le Floch, Joseph Palmer
Semitoric systems are a type of four-dimensional integrable system for which one of the integrals generates a global -action; these systems were classified by Pelayo and Vu Ng…
Invariance of Immersed Floer cohomology under Maslov flows
Joseph Palmer, Chris Woodward, with an erratum written jointly with Hadi Azizi
We show that immersed Lagrangian Floer cohomology in compact rational symplectic manifolds is invariant under Maslov flows such as coupled mean curvature/Kaehler-Ricci flow in the…
A family of compact semitoric systems with two focus-focus singularities
Sonja Hohloch, Joseph Palmer
About 6 years ago, semitoric systems were classified by Pelayo & Vu Ngoc by means of five invariants. Standard examples are the coupled spin oscillator on $\mathbb{S}^2 \times \mat…
Minimal models of compact symplectic semitoric manifolds
Daniel M. Kane, Joseph Palmer, Álvaro Pelayo
A symplectic semitoric manifold is a symplectic -manifold endowed with a Hamiltonian -action satisfying certain conditions. The goal of this paper is to…
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…
Moduli spaces of semitoric systems
Joseph Palmer
Recently Pelayo-Vũ Ngoc classified semitoric integrable systems in terms of five symplectic invariants. Using this classification we define a family of metrics on the space of semi…