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Recently I became curious about moduli spaces of linkages and so I found and began reading some papers of Kapovich and Millson. In the paper Hodge theory and the art of paper folding, the Ph.D. thesis of A. Galitzer is cited. I found other citations to it in the literature, but I could not find an electronic copy.

Does anyone have a copy on hand, or are the results published elsewhere? The main result seems to be a characterization of the possible side lengths of closed polygons on the unit sphere.

If I were still in living in the states, I would make a visit to U. of M.'s library to check it out, since I have friends in the area. Alas, I am overseas.

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  • $\begingroup$ Perhaps contact Louis Theran, who replied knowledgeably to the question, Is a rhombus rigid on a sphere or torus? And generalizations. $\endgroup$ Apr 4, 2014 at 10:41
  • $\begingroup$ Also, do you know that K.&M. wrote a paper entitled, "On the Moduli Space of a Spherical Polygonal Linkage"? Citeseer link. $\endgroup$ Apr 4, 2014 at 10:42
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    $\begingroup$ If someone is at an US based institution, it appears to be cataloged in ProQuest (but being overseas I cannot get the full text). $\endgroup$ Apr 4, 2014 at 10:43
  • $\begingroup$ @JosephO'Rourke I am aware of that paper, indeed, they also cite her thesis for the aforementioned results. Thanks for the pointer to Louis Theran as well. $\endgroup$
    – j.c.
    Apr 4, 2014 at 10:54
  • $\begingroup$ You probably already know that Amy Galitzer's Ph.D. adviser was John Millson. You could write to him @Univ Maryland. $\endgroup$ Apr 4, 2014 at 11:38

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You can find a copy here.

(A note on linking to academic papers.)

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  • $\begingroup$ Many thanks! And that is indeed an important discussion in the meta.matheducators page. $\endgroup$
    – j.c.
    Apr 4, 2014 at 14:22

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