Geodesic
Goldman Systems and Bending Systems
Canadian journal of mathematics, Tome 67 (2015) no. 5, pp. 1109-1143

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DOI

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.
DOI : 10.4153/CJM-2015-004-2
Mots-clés : 53D30, 14H60, toric degeneration 
Nohara, Yuichi; Ueda, Kazushi. Goldman Systems and Bending Systems. Canadian journal of mathematics, Tome 67 (2015) no. 5, pp. 1109-1143. doi: 10.4153/CJM-2015-004-2
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     title = {Goldman {Systems} and {Bending} {Systems}},
     journal = {Canadian journal of mathematics},
     pages = {1109--1143},
     year = {2015},
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     number = {5},
     doi = {10.4153/CJM-2015-004-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2015-004-2/}
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