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- W2022334612 abstract "The (local) invariant symplectic action functional $A$ is associated to a Hamiltonian action of a compact connected Lie group $G$ on a symplectic manifold $(M,omega)$, endowed with a $G$-invariant Riemannian metric $langlecdot,cdotrangle_M$. It is defined on the set of pairs of loops $(x,xi):S^1to Mtimes Lie G$ for which $x$ satisfies some admissibility condition. I prove a sharp isoperimetric inequality for $A$ if $langlecdot,cdotrangle_M$ is induced by some $omega$-compatible and $G$-invariant almost complex structure $J$, and, as an application, an optimal result about the decay at $infty$ of symplectic vortices on the half-cylinder $[0,infty)x S^1$." @default.
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- W2022334612 date "2009-01-01" @default.
- W2022334612 modified "2023-10-01" @default.
- W2022334612 title "The invariant symplectic action and decay for vortices" @default.
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- W2022334612 doi "https://doi.org/10.4310/jsg.2009.v7.n3.a5" @default.
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