Polygon decompositions of a surface and tight geodesics

被引:1
|
作者
Watanabe, Yohsuke [1 ,2 ]
机构
[1] Univ Utah, 155S 1400E Room 233, Salt Lake City, UT 84112 USA
[2] Univ Hawaii, 2565 McCarthy Mall, Honolulu, HI 96822 USA
关键词
Curve complex; Tight geodesics; Combinatorial geometry; Filling simplex; CURVE COMPLEX;
D O I
10.1007/s10711-015-0115-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give a computable bound for the cardinalities of the slices on tight geodesics between two vertices in the curve complex, where the bound depends on the distance between two vertices and the topology of a surface.
引用
收藏
页码:113 / 117
页数:5
相关论文
共 50 条
  • [1] Polygon decompositions of a surface and tight geodesics
    Yohsuke Watanabe
    Geometriae Dedicata, 2016, 181 : 113 - 117
  • [2] Decompositions of a Polygon into Centrally Symmetric Pieces
    Júlia Frittmann
    Zsolt Lángi
    Mediterranean Journal of Mathematics, 2016, 13 : 3629 - 3649
  • [3] Decompositions of a Polygon into Centrally Symmetric Pieces
    Frittmann, Julia
    Langi, Zsolt
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (05) : 3629 - 3649
  • [4] Tight geodesics in the curve complex
    Bowditch, Brian H.
    INVENTIONES MATHEMATICAE, 2008, 171 (02) : 281 - 300
  • [5] Tight geodesics in the curve complex
    Brian H. Bowditch
    Inventiones mathematicae, 2008, 171 : 281 - 300
  • [6] COMBINATORICS OF TIGHT GEODESICS AND STABLE LENGTHS
    Webb, Richard C. H.
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 367 (10) : 7323 - 7342
  • [7] Length Bounds on Curves Arising from Tight Geodesics
    Brian H. Bowditch
    Geometric and Functional Analysis, 2007, 17 : 1001 - 1042
  • [8] Length bounds on curves arising from tight geodesics
    Bowditch, Brian H.
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 2007, 17 (04) : 1001 - 1042
  • [9] Geodesics on an invariant surface
    Montaldo, Stefano
    Onnis, Irene I.
    JOURNAL OF GEOMETRY AND PHYSICS, 2011, 61 (08) : 1385 - 1395
  • [10] Ellipsoidal tight frames and projection decompositions of operators
    Dykema, K
    Freeman, D
    Kornelson, K
    Larson, D
    Ordower, M
    Weber, E
    ILLINOIS JOURNAL OF MATHEMATICS, 2004, 48 (02) : 477 - 489