Accepted Paper
Inserted: 4 oct 2016
Last Updated: 4 oct 2016
Journal: Ann. Scuola Norm. Sup. Pisa Cl. Sci.
Year: 2016
Abstract:
For any Lie group $G$, we construct a $G$-equivariant analogue of symplectic capacities and give examples when $G=T^k\times R^{d-k}$, in which case the capacity is an invariant of integrable systems. Then we study the continuity of these capacities, using the natural topologies on the symplectic $G$-categories on which they are defined.
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