Sympletic volume of the moduli space of spatial polygons
نویسندگان
چکیده
منابع مشابه
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In this paper, we study the symplectic volume of the moduli space of polygons by using Witten’s formula. We propose to use this volume as a measure for the flexibility of a polygon with fixed side-lengths. The main result of our is that among all the polygons with fixed perimeter in S or E the regular one is the most flexible and that among all the spherical polygons the regular one with side-l...
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We study the topology of moduli spaces of polygons with xed side lengths in the Euclidean plane. We establish a duality between the spaces of marked Euclidean polygons with xed side lengths and marked convex Euclidean polygons with prescribed angles. 1. We consider the space P n of all polygons with n distinguished vertices in the Euclidean plane E 2 whose sides have nonnegative length allowing...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1999
ISSN: 2156-2261
DOI: 10.1215/kjm/1250517868