Ukrainian mathematical congress  2009
Stepan Moskaliuk (Bogoliubov Institute for Theoretical Physics of the NASU, Kyiv, Ukraine & AustroUkrainian Institute for Science and Technology, Wien, Austria) CayleyKlein topological quantum field theory Expansion of the categorical point of view on many areas of the mathematics and mathematical physics will cause to deeper understanding of genuine features of these problems. New applications of categorical methods are connected with new additional structures on categories. One of such structures, the CayleyKlein double category, is considered in this talk. The CayleyKlein double category structure is defined as generalization of the CayleyKlein bicategory structure. It is shown that CayleyKlein double categories exist in the topological quantum field theory.
