Higher-Dimensional Algebra I: Braided Monoidal 2-Categories

Details Higher-Dimensional Algebra I: Braided Monoidal 2-Categories Higher-Dimensional Algebra I: Braided Monoidal 2-Categories

1995-11-19

arxiv.org/abs/q-alg/9511013v1

Mathematics

Quantum Algebra

53 pages, available in PDF at http://math.ucr.edu/home/baez/hda1.pdf or Postscript at http://math.ucr.edu/home/baez/hda1.ps

Scientific paper

We begin with a brief sketch of what is known and conjectured concerning braided monoidal 2-categories and their applications to 4d topological quantum field theories and 2-tangles (surfaces embedded in 4-dimensional space). Then we give concise definitions of semistrict monoidal 2-categories and braided monoidal 2-categories, and show how these may be unpacked to give long explicit definitions similar to, but not quite the same as, those given by Kapranov and Voevodsky. Finally, we describe how to construct a semistrict braided monoidal 2-category Z(C) as the `center' of a semistrict monoidal category C. This is analogous to the construction of a braided monoidal category as the center, or `quantum double', of a monoidal category. As a corollary, our construction yields a strictification theorem for braided monoidal 2-categories.

Affiliated with

Also associated with

No associations

Rating

Higher-Dimensional Algebra I: Braided Monoidal 2-Categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Higher-Dimensional Algebra I: Braided Monoidal 2-Categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher-Dimensional Algebra I: Braided Monoidal 2-Categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-283510