Polygon spaces and Grassmannians

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dc.creatorHausmann, Jean-Claude
dc.creatorKnutson, Allen
dc.date1996-02-29
dc.date.accessioned2026-07-07T09:12:43Z
dc.date.available2026-07-07T09:12:43Z
dc.descriptionWe study the moduli spaces of polygons in R^2 and R^3, identifying them with subquotients of 2-Grassmannians using a symplectic version of the Gel'fand-MacPherson correspondence. We show that the bending flows defined by Kapovich-Millson arise as a reduction of the Gel'fand-Cetlin system on the Grassmannian, and with these determine the pentagon and hexagon spaces up to equivariant symplectomorphism. Other than invocation of Delzant's theorem, our proofs are purely polygon-theoretic in nature.
dc.descriptionplain TeX, 21 pages, submitted to Journal of Differential Geometry
dc.identifierhttps://arxiv.org/abs/dg-ga/9602012
dc.identifierhttp://arxiv.org/abs/dg-ga/9602012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152113
dc.subjectDifferential Geometry
dc.titlePolygon spaces and Grassmannians
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