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Goldman Systems and Bending Systems

Published online by Cambridge University Press:  20 November 2018

Yuichi Nohara  and
Kazushi Ueda
Yuichi Nohara
Affiliation:
Faculty of Education, Kagawa University, Saiwai-cho 1-1, Takamatsu, Kagawa, 760-8522, Japan. nohara@ed.kagawa-u.ac.jp
Kazushi Ueda
Affiliation:
Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan. kazushi@ms.u-tokyo.ac.jp
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Abstract

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

Keywords

53D3014H60toric degeneration
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 67 , Issue 5 , 01 October 2015 , pp. 1109 - 1143
Copyright
Copyright © Canadian Mathematical Society 2015

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