Global topological invariants of stable maps from 3-manifolds to ℝ3

被引：0
|
作者：
C. Mendes de Jesus
R. Oset Sinha
M. C. Romero Fuster
机构：
[1] Universitat de València,Departament de Geometría i Topología, Facultat de Matem`atiques
来源：
Proceedings of the Steklov Institute of Mathematics | 2009年 / 267卷
关键词：
STEKLOV Institute; Topological Type; Morse Function; Zero Weight; Cusp Point;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
With any stable map from a 3-manifold to ℝ3, we associate a graph with weights in its vertices and edges. These graphs are A-invariants from a global viewpoint. We study their properties and show that any tree with zero weights in its vertices and aleatory weights in its edges can be the graph of a stable map from S3 to ℝ3.
引用
收藏
页码：205 / 216
页数：11
相关论文
共 50 条
  • [1] Global topological invariants of stable maps from 3-manifolds to a"e3
    Mendes de Jesus, C.
    Oset Sinha, R.
    Romero Fuster, M. C.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2009, 267 (01) : 205 - 216
  • [2] Topological invariants of stable maps of oriented 3-manifolds in R4
    Casonatto, C.
    Fuster, M. C. Romero
    Atique, R. G. Wik
    GEOMETRIAE DEDICATA, 2018, 194 (01) : 187 - 207
  • [3] QUANTUM SUPERGROUPS AND TOPOLOGICAL INVARIANTS OF 3-MANIFOLDS
    ZHANG, RB
    REVIEWS IN MATHEMATICAL PHYSICS, 1995, 7 (05) : 809 - 831
  • [4] L(2)-TOPOLOGICAL INVARIANTS OF 3-MANIFOLDS
    LOTT, J
    LUCK, W
    INVENTIONES MATHEMATICAE, 1995, 120 (01) : 15 - 60
  • [5] Local invariants of maps between 3-manifolds
    Goryunov, Victor
    JOURNAL OF TOPOLOGY, 2013, 6 (03) : 757 - 776
  • [6] First-Order Local Invariants of Stable Maps from 3-Manifolds to R3
    Sinha, R. Oset
    Fuster, M. C. Romero
    MICHIGAN MATHEMATICAL JOURNAL, 2012, 61 (02) : 385 - 414
  • [7] Topological invariants of stable immersions of oriented 3-manifolds in R4
    Casonatto, C.
    Romero Fuster, M. C.
    Wik Atique, R.
    TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (02) : 420 - 429
  • [8] Graphs of Stable Maps from 3-Manifolds to 3-space
    Raúl Oset Sinha
    María del Carmen Romero Fuster
    Mediterranean Journal of Mathematics, 2013, 10 : 1107 - 1126
  • [9] Graphs of Stable Maps from 3-Manifolds to 3-space
    Sinha, Raul Oset
    Romero Fuster, Maria del Carmen
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (02) : 1107 - 1126
  • [10] INVARIANTS OF 3-MANIFOLDS
    CAPPELL, SE
    SHANESON, JL
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 81 (03) : 559 - 562
12345