ORDERS OF THE CANONICAL VECTOR BUNDLES OVER CONFIGURATION SPACES OF FINITE GRAPHS

被引：0
|
作者：
Cohen, Frederick R. [1 ]
Huang, Ruizhi [2 ]
机构：
[1] Univ Rochester, Dept Math, Rochester, NY 14627 USA
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2022年 / 316卷 / 01期
基金：
国家重点研发计划; 中国国家自然科学基金;
关键词：
configuration space; vector bundle; finite graph; 2; PARTICLES; TOPOLOGY;
D O I：
10.2140/pjm.2022.316.53
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the order of the canonical vector bundle over the configuration space is 2 for a general planar graph, and is 4 for a nonplanar graph.
引用
收藏
页码：53 / 64
页数：12
相关论文
共 50 条
  • [1] Vector bundles over configuration spaces
    Mann, HJ
    [J]. GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2, 1997, : 383 - 387
  • [2] ORDER OF THE CANONICAL VECTOR BUNDLE OVER CONFIGURATION SPACES OF PROJECTIVE SPACES
    Ren, Shiquan
    [J]. OSAKA JOURNAL OF MATHEMATICS, 2017, 54 (04) : 623 - 634
  • [3] Order of the canonical vector bundle over configuration spaces of spheres
    Ren, Shiquan
    [J]. FORUM MATHEMATICUM, 2018, 30 (05) : 1265 - 1277
  • [4] BUNDLES OVER CONFIGURATION-SPACES
    COHEN, FR
    COHEN, RL
    KUHN, NJ
    NEISENDORFER, JL
    [J]. PACIFIC JOURNAL OF MATHEMATICS, 1983, 104 (01) : 47 - 54
  • [5] EQUIVARIANT VECTOR BUNDLES OVER GRAPHS
    Kim, Min Kyu
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (01) : 227 - 248
  • [6] TRANSITION GRAPHS OF AFFINE TRANFORMATION ON VECTOR SPACES OVER FINITE FIELDS
    WANG, KC
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1967, 283 (01): : 55 - +
  • [7] On vector bundles over hyperkahler twistor spaces
    Biswas, Indranil
    Tomberg, Artour
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2022, 300 (03) : 3143 - 3170
  • [8] Vector bundles over configuration spaces of nonidentical particles: Topological potentials and internal degrees of freedom
    Doebner, HD
    Mann, HJ
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (08) : 3943 - 3952
  • [9] C*-ALGEBRAS ASSOCIATED TO HOMEOMORPHISMS TWISTED BY VECTOR BUNDLES OVER FINITE DIMENSIONAL SPACES
    Adamo, Maria Stella
    Archey, Dawn E.
    Forough, Marzieh
    Georgescu, Magdalena C.
    Jeong, Ja A.
    Strung, Karen R.
    Viola, Maria Grazia
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, : 1597 - 1640
  • [10] Paley-like graphs over finite fields from vector spaces
    Reis, Lucas
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2023, 88
12345