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- W4298381892 abstract "A family of Poisson structures, parametrised by an arbitrary odd periodic function $phi$, is defined on the space $cW$ of twisted polygons in $RR^nu$. Poisson reductions with respect to two Poisson group actions on $cW$ are described. The $nu=2$ and $nu=3$ cases are discussed in detail and the general $nu$ case in less detail. Amongst the Poisson structures arising in examples are to be found the lattice Virasoro structure, the second Toda lattice structure and some extended Toda lattice structures. A general result is proved showing that, for any $nu$, to certain concrete choices of $phi$ there correspond compatible Poisson structures which generate all the extended bigraded Toda hierarchies of a suitable size." @default.
- W4298381892 created "2022-10-02" @default.
- W4298381892 creator A5028110865 @default.
- W4298381892 date "2010-07-12" @default.
- W4298381892 modified "2023-10-16" @default.
- W4298381892 title "Poisson reduction of the space of polygons" @default.
- W4298381892 doi "https://doi.org/10.48550/arxiv.1007.1952" @default.
- W4298381892 hasPublicationYear "2010" @default.
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