The isomorphism problem for planar polygon spaces
نویسندگان
چکیده
منابع مشابه
Homology of Planar Polygon Spaces
In this paper we study topology of the variety of closed planar n-gons with given side lengths l1, . . . , ln. The moduli space M` where ` = (l1, . . . , ln), encodes the shapes of all such n-gons. We describe the Betti numbers of the moduli spaces M` as functions of the length vector ` = (l1, . . . , ln). We also find sharp upper bounds on the sum of Betti numbers of M` depending only on the n...
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In this paper we study topology of the variety of closed pla-nar n-gons with given side lengths l1,. .. , ln. The moduli space M ℓ where ℓ = (l1,. .. , ln), encodes the shapes of all such n-gons. We describe the Betti numbers of the moduli spaces M ℓ as functions of the length vector ℓ = (l1,. .. , ln). We also find sharp upper bounds on the sum of Betti numbers of M ℓ depending only on the num...
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2010
ISSN: 1753-8416
DOI: 10.1112/jtopol/jtq024