Goldman systems and bending systems

Abstract

We show that the moduli space of parabolic bundles on the projective line and the polygon space are isomorphic, both as complex manifolds and symplectic manifolds equipped with structures of completely integrable systems, if the stability parameters are small.

37 pages, 2 figures; v3: added a reference

References in corpus (3)

• Toric degenerations of weight varieties and applications
• The Toric Geometry of Triangulated Polygons in Euclidean Space
• Toric degenerations of integrable systems on Grassmannians and polygon spaces

Cited by in corpus (1)

• A Remark on the Kernel of the CR Paneitz operator