A note on the biadjunction between 2-categories of traced monoidal categories and tortile monoidal categories

被引：1
|
作者：
Hasegawa, Masahito [1 ]
Katsumata, Shin-Ya [1 ]
机构：
[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2010年 / 148卷
关键词：
TENSOR CATEGORIES;
D O I：
10.1017/S0305004109002606
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We illustrate a minor error in the biadjointness result for 2-categories of traced monoidal categories and tot-tile monoidal categories stated by Joyal, Street and Verity. We also show that the biadjointness holds after suitably changing the definition of 2-cells.
引用
收藏
页码：107 / 109
页数：3
相关论文
共 23 条
  • [1] Monoidal Categories Enriched in Braided Monoidal Categories
    Morrison, Scott
    Penneys, David
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2019, 2019 (11) : 3527 - 3579
  • [2] Eilenberg-Watts Theorem for 2-categories and quasi-monoidal structures for module categories over bialgebroid categories
    Femic, Bojana
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2016, 220 (09) : 3156 - 3181
  • [3] POISSON BOUNDARIES OF MONOIDAL CATEGORIES
    Neshveyev, Sergey
    Yamashita, Makot
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2017, 50 (04): : 927 - 972
  • [4] Monads on Higher Monoidal Categories
    Aguiar, Marcelo
    Haim, Mariana
    Lopez Franco, Ignacio
    APPLIED CATEGORICAL STRUCTURES, 2018, 26 (03) : 413 - 458
  • [5] Drinfeld center of enriched monoidal categories
    Kong, Liang
    Zheng, Hao
    ADVANCES IN MATHEMATICS, 2018, 323 : 411 - 426
  • [6] Monoidal Categories, 2-Traces, and Cyclic Cohomology
    Hassanzadeh, Mohammad
    Khalkhali, Masoud
    Shapiro, Ilya
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2019, 62 (02): : 293 - 312
  • [7] Unitary braided-enriched monoidal categories
    Dell, Zachary
    Huston, Peter
    Penneys, David
    QUANTUM TOPOLOGY, 2024, 15 (3-4) : 567 - 632
  • [8] Drinfeld Center and Representation Theory for Monoidal Categories
    Neshveyev, Sergey
    Yamashita, Makoto
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2016, 345 (01) : 385 - 434
  • [9] Coherence for monoidal G-categories and braided G-crossed categories
    Galindo, Cesar
    JOURNAL OF ALGEBRA, 2017, 487 : 118 - 137
  • [10] On monoidal group actions on tensor categories and their Green functors
    Burciu, Sebastian
    MONATSHEFTE FUR MATHEMATIK, 2019, 188 (03): : 431 - 459
123