Four dimensional topological quantum field theory, Hopf categories, and the canonical bases

Abstract

We propose a new mwthod of constructing 4D-TQFTs. The method uses a new type of algebraic structure called a Hopf Category. We also outline the construction of a family of Hopf categories related to the quantum groups, using the canonical bases.

38 pages

References in corpus (4)

• Chern-Simons Theory with Finite Gauge Group
• Lattice Topological Field Theory in Two Dimensions
• Structure of Topological Lattice Field Theories in Three Dimensions
• Topological Models on the Lattice and a Remark on String Theory Cloning

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