Symplectic capacities of toric manifolds and combinatorial inequalities

被引:5
|
作者
Lu, GC [1 ]
机构
[1] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/S1631-073X(02)02357-9
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We shall give concrete estimations for the Gromov symplectic width of toric manifolds in combinatorial data. As by-products some combinatorial inequalities in the polytope theory are obtained. (C) 2002 Academie des science/Edition scientifiques et medicales Elsevier SAS.
引用
收藏
页码:889 / 892
页数:4
相关论文
共 50 条
  • [21] NON-KAHLER SYMPLECTIC MANIFOLDS WITH TORIC SYMMETRIES
    Lin, Yi
    Pelayo, Alvaro
    QUARTERLY JOURNAL OF MATHEMATICS, 2011, 62 (01): : 103 - 114
  • [22] Maximal Ball Packings of Symplectic-Toric Manifolds
    Pelayo, Alvaro
    Schmidt, Benjamin
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2008, 2008
  • [23] Gromov width of symplectic toric manifolds associated with graphs
    Choi, Suyoung
    Hwang, Taekgyu
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2023, 34 (03)
  • [24] DISTANCE FUNCTIONS ON CONVEX BODIES AND SYMPLECTIC TORIC MANIFOLDS
    Fujita, Hajime
    Kitabeppu, Yu
    Mitsuishi, Ayato
    NAGOYA MATHEMATICAL JOURNAL, 2025,
  • [25] The tropical momentum map: a classification of toric log symplectic manifolds
    Gualtieri, Marco
    Li, Songhao
    Pelayo, Alvaro
    Ratiu, Tudor S.
    MATHEMATISCHE ANNALEN, 2017, 367 (3-4) : 1217 - 1258
  • [26] The tropical momentum map: a classification of toric log symplectic manifolds
    Marco Gualtieri
    Songhao Li
    Álvaro Pelayo
    Tudor S. Ratiu
    Mathematische Annalen, 2017, 367 : 1217 - 1258
  • [27] Toric structures on near-symplectic 4-manifolds
    Gay, David T.
    Symington, Margaret
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2009, 11 (03) : 487 - 520
  • [28] A SIMPLE COMBINATORIAL CRITERION FOR PROJECTIVE TORIC MANIFOLDS WITH DUAL DEFECT
    Dickenstein, Alicia
    Nill, Benjamin
    MATHEMATICAL RESEARCH LETTERS, 2010, 17 (03) : 435 - 448
  • [29] Bohr-Sommerfeld quantization of b-symplectic toric manifolds
    Mir, Pau
    Miranda, Eva
    Weitsman, Jonathan
    PURE AND APPLIED MATHEMATICS QUARTERLY, 2023, 19 (04) : 2169 - 2194
  • [30] Embedding theorems for quasi-toric manifolds given by combinatorial data
    Buchstaber, V. M.
    Kustarev, A. A.
    IZVESTIYA MATHEMATICS, 2015, 79 (06) : 1157 - 1183