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Goldman Systems and Bending Systems

  Published:2015-04-30
 Printed: Oct 2015
  • Yuichi Nohara,
    Faculty of Education, Kagawa University, Saiwai-cho 1-1, Takamatsu, Kagawa, 760-8522, Japan
  • Kazushi Ueda,
    Department of Mathematics, Graduate School of Science, Osaka University, Machikaneyama 1-1, Toyonaka, Osaka, 560-0043, Japan
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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: toric degeneration toric degeneration
MSC Classifications: 53D30, 14H60 show english descriptions Symplectic structures of moduli spaces
Vector bundles on curves and their moduli [See also 14D20, 14F05]
53D30 - Symplectic structures of moduli spaces
14H60 - Vector bundles on curves and their moduli [See also 14D20, 14F05]
 

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