Trisections in colored tensor models

被引:2
|
作者
Martini, Riccardo [1 ]
Toriumi, Reiko [1 ]
机构
[1] Grad Univ, Okinawa Inst Sci & Technol, 1919-1 Tancha, Onna, Okinawa 9040495, Japan
来源
ANNALES DE L INSTITUT HENRI POINCARE D | 2024年 / 11卷 / 03期
关键词
Trisections; tensor models; discrete topology; PL; piecewise linear topology; graph theory; colored graphs; graph encoding manifolds; LIOUVILLE QUANTUM-GRAVITY; COMPLETE 1/N EXPANSION; LARGE D LIMIT; CRITICAL-BEHAVIOR; BROWNIAN MAP; RENORMALIZATION;
D O I
10.4171/AIHPD/167
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We give a procedure to construct trisections for closed manifolds generated by colored tensor models without restrictions on the number of simplices in the triangulation, therefore generalizing previous works in the context of crystallizations and PL-manifolds. We give a description of how trisection diagrams can arise from colored tensor model graphs for closed 4-manifolds. We further speculate on generalization of similar constructions for a class of singular-manifolds generated by simplicial colored tensor models.
引用
收藏
页码:453 / 502
页数:50
相关论文
共 50 条
  • [21] Nielsen equivalence and trisections
    Islambouli, Gabriel
    GEOMETRIAE DEDICATA, 2021, 214 (01) : 303 - 317
  • [22] Nielsen equivalence and trisections
    Gabriel Islambouli
    Geometriae Dedicata, 2021, 214 : 303 - 317
  • [23] DIAGRAMS FOR RELATIVE TRISECTIONS
    Castro, Nickolas A.
    Gay, David T.
    Pinzon-Caicedo, Juanita
    PACIFIC JOURNAL OF MATHEMATICS, 2018, 294 (02) : 275 - 305
  • [24] Trisections of Lefschetz pencils
    Gay, David T.
    Algebraic and Geometric Topology, 2016, 16 (06): : 3523 - 3531
  • [25] COLORED MODELS FOR ANOMALOUS NUCLEI
    WATSON, PJS
    SALY, R
    ROMO, WJ
    SUNDARESAN, MK
    CAMPBELL, B
    PHYSICAL REVIEW D, 1983, 27 (07): : 1468 - 1478
  • [26] FENGXIANG COLORED CLAY MODELS
    REN, X
    CHINESE LITERATURE, 1980, (10): : 104 - &
  • [27] Trisections and cubes in elliptic curves
    Pujolas, Jordi
    Theriault, Nicolas
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2023, 227 (04)
  • [28] Bridge trisections in rational surfaces
    Lambert-Cole, Peter
    Meier, Jeffrey
    JOURNAL OF TOPOLOGY AND ANALYSIS, 2022, 14 (03) : 655 - 708
  • [29] Generalized trisections in all dimensions
    Rubinstein, J. Hyam
    Tillmann, Stephan
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2018, 115 (43) : 10908 - 10913
  • [30] Trisections of 4-manifolds
    Kirby, Robion
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2018, 115 (43) : 10853 - 10856