Hyperpolygon spaces and their cores
Hyperpolygon spaces and their cores
Given an $n$-tuple of positive real numbers $(\alpha _1,\ldots ,\alpha _n)$, Konno (2000) defines the hyperpolygon space $X(\alpha )$, a hyperkähler analogue of the Kähler variety $M(\alpha )$ parametrizing polygons in $\mathbb {R}^3$ with edge lengths $(\alpha _1,\ldots ,\alpha _n)$. The polygon space $M(\alpha )$ can be interpreted as the …