Rafael Diaz, Universidad Sergio Arboleda, Colombia
Categorification, Feynman Integrals, and Quantization - I

We review the general notion of categorification in order to study quantization -- in the sense of deformation quantization -- and Feynman integrals from the viewpoint of category theory. The fairly abstract setting that we propose leads to a rather down to earth approach to these often elusive notions.

  1. R. Diaz, E. Pariguan, Super, Quantum, and Noncommutative Species, African Diaspora J. Math.  8  (2009)  90-130.
  2. 2. H. Blandin, R. Diaz, Rational Combinatorics, Adv. Appl. Math 40 (2008) 107-126.
  3. E. Castillo, R. Diaz, Rota-Baxter Categories, Int. Elect. J. Alg. 5 (2009) 27-57.
Support: FCT, CAMGSD, New Geometry and Topology