Kodai Mathematical Journal
- Kodai Math. J.
- Volume 28, Number 1 (2005), 199-208.
On the symplectic volume of the moduli space of spherical and Euclidean polygons
Abstract
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 S3 or E3 the regular one is the most flexible and that among all the spherical polygons the regular one with side-length π/2 is the most flexible.
Article information
Source
Kodai Math. J., Volume 28, Number 1 (2005), 199-208.
Dates
First available in Project Euclid: 23 March 2005
Permanent link to this document
https://projecteuclid.org/euclid.kmj/1111588046
Digital Object Identifier
doi:10.2996/kmj/1111588046
Mathematical Reviews number (MathSciNet)
MR2122200
Zentralblatt MATH identifier
1104.53083
Citation
Khoi, Vu The. On the symplectic volume of the moduli space of spherical and Euclidean polygons. Kodai Math. J. 28 (2005), no. 1, 199--208. doi:10.2996/kmj/1111588046. https://projecteuclid.org/euclid.kmj/1111588046
