Types, Codes and TFTs

Abstract

We establish a relation between fully extended $2$-dimensional TQFTs and recognisable weighted formal languages, rational biprefix codes and lattice TFTs. We show the equivalence of $2D$ closed TFTs and rational exchangeable series and we discuss the important special case of finite groups. Finally, we outline a reformulation in terms of a restricted version of second order monadic logic.

10 pages, at 11pt

References in corpus (5)

• The Classification of Two-Dimensional Extended Topological Field Theories
• On the Classification of Topological Field Theories
• Extended TQFT's and Quantum Gravity
• Noncommutative Frobenius algebras and open-closed duality
• The Mesoscopic category, Automata and Tropical Geometry