On the moduli space of polygons in the Euclidean plane

被引:0
|
作者
Kapovich, M [1 ]
Millson, J [1 ]
机构
[1] UNIV MARYLAND, COLLEGE PK, MD 20742 USA
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the topology of moduli spaces of polygons with fixed side lengths in the Euclidean plane. We establish a duality between the spaces of marked Euclidean polygons with fixed side lengths and marked convex Euclidean polygons with prescribed angles.
引用
收藏
页码:430 / 464
页数:35
相关论文
共 50 条
  • [21] MODULI SPACE OF PLANE CURV GERM
    GRANGER, JM
    BULLETIN DES SCIENCES MATHEMATIQUES, 1979, 103 (01): : 3 - 16
  • [22] MODULI OF PONCELET POLYGONS
    JAKOB, B
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1993, 436 : 33 - 44
  • [23] The effective cone of the moduli space of sheaves on the plane
    Coskun, Izzet
    Huizenga, Jack
    Woolf, Matthew
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2017, 19 (05) : 1421 - 1467
  • [24] Euclidean TSP on two polygons
    Abrahamson, Jeff
    Shokoufandeh, Ali
    THEORETICAL COMPUTER SCIENCE, 2010, 411 (7-9) : 1104 - 1114
  • [25] The topology of the moduli space of arc-length parametrised closed curves in Euclidean space
    Lillywhite, S
    TOPOLOGY, 2000, 39 (03) : 487 - 494
  • [26] The Euclidean distortion of generalized polygons
    Kobayashi, Toshimasa
    Kondo, Takefumi
    ADVANCES IN GEOMETRY, 2015, 15 (04) : 499 - 506
  • [27] Moduli dimensions of lattice polygons
    Echavarria, Marino
    Everett, Max
    Huang, Shinyu
    Jacoby, Liza
    Morrison, Ralph
    Tewari, Ayush K.
    Vlad, Raluca
    Weber, Ben
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2022, 55 (02) : 559 - 589
  • [28] Singular fibers of the bending flows on the moduli space of 3D polygons
    Bouloc, Damien
    JOURNAL OF SYMPLECTIC GEOMETRY, 2018, 16 (03) : 585 - 629
  • [29] METRICS ON THE MODULI SPACES OF INSTANTONS OVER EUCLIDEAN 4-SPACE
    MACIOCIA, A
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 135 (03) : 467 - 482
  • [30] Moduli dimensions of lattice polygons
    Marino Echavarria
    Max Everett
    Shinyu Huang
    Liza Jacoby
    Ralph Morrison
    Ayush K. Tewari
    Raluca Vlad
    Ben Weber
    Journal of Algebraic Combinatorics, 2022, 55 : 559 - 589