REVIEW 2 cited by
Higher-Dimensional Algebra I: Braided Monoidal 2-Categories
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
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.
Forward citations
Cited by 2 Pith papers
-
Syllepses from 3-shifted Poisson structures and second-order integration of infinitesimal 2-braidings
A coherent totally symmetric strict infinitesimal 2-braiding gives a second-order deformation quantization to a braided monoidal cochain 2-category, and 3-shifted Poisson structures induce syllepses.
-
On \'Etale Algebras and Bosonic Fusion 2-Categories
Connected and Lagrangian étale algebras in Z_1(2Vect^π_G) are classified by subgroups, braided fusion categories with group actions, and 4-group morphism data; this yields a parametrization of bosonic fusion 2-categories.
Discussion (0). Continue with ORCID to comment.