SELF-MAPPING DEGREES OF TORUS BUNDLES AND TORUS SEMI-BUNDLES

被引:0
|
作者
Sun, Hongbin [1 ]
Wang, Shicheng [1 ]
Wu, Jianchun [1 ]
机构
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
基金
中国国家自然科学基金;
关键词
3-MANIFOLDS; MANIFOLDS; MAPS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Each closed oriented 3-manifold M is naturally associated with a set of integers D(M), the degrees of all self-maps on M. D(M) is determined for each torus bundle and semi-bundle M. The structure of torus semi-bundle is studied in detail. The paper is a part of a project to determine D(M) for all 3-manifolds in Thurston's picture.
引用
收藏
页码:131 / 155
页数:25
相关论文
共 50 条
  • [1] Free involutions on torus semi-bundles and the Borsuk-Ulam Theorem for maps into Rn
    Barreto, Alexandre Paiva
    Goncalves, Daciberg Lima
    Vendruscolo, Daniel
    HIROSHIMA MATHEMATICAL JOURNAL, 2016, 46 (03) : 255 - 270
  • [2] Genera of coverings of torus bundles
    Nunez, Victor
    Ramirez-Losada, Enrique
    Remigio-Juarez, Jair
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2018, 112 (03) : 811 - 827
  • [3] On the spectrum of collapsing torus bundles
    Jammes, P
    MANUSCRIPTA MATHEMATICA, 2003, 110 (01) : 13 - 31
  • [4] COHOMOLOGY OF TORUS MANIFOLD BUNDLES
    Dasgupta, Jyoti
    Khan, Bivas
    Uma, Vikraman
    MATHEMATICA SLOVACA, 2019, 69 (03) : 685 - 698
  • [5] Real places and torus bundles
    Calegari, Danny
    GEOMETRIAE DEDICATA, 2006, 118 (01) : 209 - 227
  • [6] Genera of coverings of torus bundles
    Víctor Núñez
    Enrique Ramírez-Losada
    Jair Remigio-Juárez
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 811 - 827
  • [7] REMARKS ON TORUS PRINCIPAL BUNDLES
    HOFER, T
    JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 1993, 33 (01): : 227 - 259
  • [8] Real Places and Torus Bundles
    Danny Calegari
    Geometriae Dedicata, 2006, 118 : 209 - 227
  • [9] PROJECTIVE BUNDLES ON A COMPLEX TORUS
    ELENCWAJG, G
    NARASIMHAN, MS
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1983, 340 : 1 - 5
  • [10] Virtually Haken fillings and semi-bundles
    Cooper, Daryl
    Walsh, Genevieve S.
    GEOMETRY & TOPOLOGY, 2006, 10 : 2237 - 2245