Convexity of the moment map image for torus actions on b m -symplectic manifolds

DOI10.1098/rsta.2017.0420zbMath1407.53091arXiv1801.01097OpenAlexW3098647652WikidataQ91493120 ScholiaQ91493120MaRDI QIDQ4626208

Eva Miranda, Jonathan Weitsman, Victor W. Guillemin

Publication date: 27 February 2019

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01097

zbMATH Keywords

singularitiestorus actionconvexityPoisson manifoldintegrable systemmoment map

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (4)

Reduction theory for singular symplectic manifolds and singular forms on moduli spaces ⋮ Constructions of b-semitoric systems ⋮ A b$b$‐symplectic slice theorem ⋮ On geometric quantization of \(b^m\)-symplectic manifolds

Cites Work

• The geometry of \(b^k\) manifolds
• Symplectic and Poisson geometry on \( b\)-manifolds
• Convexity properties of the moment mapping
• On geometric quantization of \(b\)-symplectic manifolds
• Convexity for Hamiltonian torus actions on \(b\)-symplectic manifolds
• Convexity properties of the moment mapping. II
• On the number of limit cycles which appear by perturbation of Hamiltonian two-saddle cycles of planar vector fields
• Toric Actions onb-Symplectic Manifolds
• Convexity and Commuting Hamiltonians
• Desingularizing $\boldsymbol{b^m}$-Symplectic Structures

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