230 citations · 315 across the 2 of their papers we have counts for
7 papers
Higher-Dimensional Algebra V: 2-Groups
John C. Baez, Aaron D. Lauda
A 2-group is a "categorified" version of a group, in which the underlying set G has been replaced by a category and the multiplication map has been replaced by a functor. Various v…
Higher Yang-Mills Theory
John C. Baez
Electromagnetism can be generalized to Yang-Mills theory by replacing the group U(1)$ by a nonabelian Lie group. This raises the question of whether one can similarly generalize 2-…
From Finite Sets to Feynman Diagrams
John C. Baez, James Dolan
`Categorification' is the process of replacing equations by isomorphisms. We describe some of the ways a thoroughgoing emphasis on categorification can simplify and unify mathemati…
The Quantum Tetrahedron in 3 and 4 Dimensions
John C. Baez, John W. Barrett
Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in the `quantum tetrahedron'. Starting with a classical phase space whose points corres…
Higher-Dimensional Algebra IV: 2-Tangles
John C. Baez, Laurel Langford
Just as knots and links can be algebraically described as certain morphisms in the category of tangles in 3 dimensions, compact surfaces smoothly embedded in R^4 can be described a…
Knots and Quantum Gravity: Progress and Prospects
John Baez
Recent work on the loop representation of quantum gravity has revealed previously unsuspected connections between knot theory and quantum gravity, or more generally, 3-dimensional…