English

Goldman systems and bending systems

Symplectic Geometry 2019-08-15 v3

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.

Keywords

Cite

@article{arxiv.1405.1058,
  title  = {Goldman systems and bending systems},
  author = {Yuichi Nohara and Kazushi Ueda},
  journal= {arXiv preprint arXiv:1405.1058},
  year   = {2019}
}

Comments

37 pages, 2 figures; v3: added a reference

R2 v1 2026-06-22T04:06:37.832Z