Measurable Categories and 2-Groups

被引:0
作者
Louis Crane
David N. Yetter
机构
[1] Kansas State University,Department of Mathematics
来源
Applied Categorical Structures | 2005年 / 13卷
关键词
Primary 22D99; Secondary 18D05, 18D10; representation; categorial group; 2‐group; measurable category;
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摘要
Using the theory of measurable categories developed in [10], we provide a notion of representations of 2-groups better suited to physically and geometrically interesting examples than that using 2-VECT (cf. [8]). Using this theory we sketch a 2-categorical approach to the state-sum model for Lorentzian quantum gravity proposed in [6], and suggest state-integral constructions for 4-manifold invariants.
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页码:501 / 516
页数:15
相关论文
共 5 条
  • [1] Brown R.(1976)-groupoids, crossed modules and the classifying space of a topological group Proc. Kon. Akad. v. Wet. 79 296-302
  • [2] Spencer C. B.(1962)Group-like structures in categories Ann. Math. 145 227-255
  • [3] Eckmann B.(1993)TQFTs from homotopy 2-types J. Knot Theory Ramif. 2 113-123
  • [4] Hilton P. J.(undefined)undefined undefined undefined undefined-undefined
  • [5] Yetter D. N.(undefined)undefined undefined undefined undefined-undefined