N Category Approach To Quantum Gravity

n-Category approach to quantum gravity

• This Week's Finds in Mathematical Physics (Week 220) has a good article on quantum gravity.
• John Baez leads a research group at the University of California Riverside, devoted to the application of n-Categories and related ideas in physics. Here is a list of his group's papers.
  • A history of n-categorical physics, John Baez and Aaron Lauda (draft version).
  • Categorification, John Baez and James Dolan, in Higher Category Theory, edited by Ezra Getzler and Mikhail Kapranov, Contemp. Math. 230, American Mathematical Society, Providence, Rhode Island, 1998, pp. 1-36.
• Louis Crane has also made significant contributions to the categorical approach to quantum gravity and relativity. (Louis Crane Wikipedia entry).
  • Categorical Geometry and the Mathematical Foundations of Quantum General Relativity, Louis Crane, contribution to the Cambridge University Press volume on quantum gravity (2006).