Manifolds with small topological complexity

被引:0
作者
Pavesic, Petar [1 ]
机构
[1] Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia
来源
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2024年 / 24卷 / 03期
关键词
CONFIGURATION-SPACES; CATEGORY; CLASSIFICATION;
D O I
10.2140/agt.2024.24.1713
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study closed orientable manifolds whose topological complexity is at most 3 and determine their cohomology rings. For some of the admissible cohomology rings we are also able to identify corresponding manifolds up to a homeomorphism.
引用
收藏
页码:1713 / 1723
页数:14
相关论文
共 27 条
  • [1] SIMPLY CONNECTED 5-MANIFOLDS
    BARDEN, D
    [J]. ANNALS OF MATHEMATICS, 1965, 82 (03) : 365 - &
  • [2] Bokor I., 2021, MATRIX Book Ser., V4, P5
  • [3] Cohen D.C., 2017, J APPL COMPUT TOPOL, V1, P199
  • [4] Topological complexity of classical configuration spaces and related objects
    Cohen, Daniel C.
    [J]. TOPOLOGICAL COMPLEXITY AND RELATED TOPICS, 2018, 702 : 41 - 60
  • [5] Cornea O., 2003, Math. Surv. Monogr, V103
  • [6] On topological complexity of non-orientable surfaces
    Dranishnikov, Alexander
    [J]. TOPOLOGY AND ITS APPLICATIONS, 2017, 232 : 61 - 69
  • [7] Small values of the Lusternik-Schnirelman category for manifolds
    Dranishnikov, Alexander N.
    Katz, Mikhail G.
    Rudyak, Yuli B.
    [J]. GEOMETRY & TOPOLOGY, 2008, 12 : 1711 - 1727
  • [8] Farber M, 2003, DISCRETE COMPUT GEOM, V29, P211, DOI 10.1007/S00454-002-0760-9
  • [9] HOPF INVARIANTS FOR SECTIONAL CATEGORY WITH APPLICATIONS TO TOPOLOGICAL ROBOTICS
    Gonzalez, Jesus
    Grant, Mark
    Vandembroucq, Lucile
    [J]. QUARTERLY JOURNAL OF MATHEMATICS, 2019, 70 (04) : 1209 - 1252
  • [10] SPACES OF TOPOLOGICAL COMPLEXITY ONE
    Grant, Mark
    Lupton, Gregory
    Oprea, John
    [J]. HOMOLOGY HOMOTOPY AND APPLICATIONS, 2013, 15 (02) : 73 - 81