A categorical construction of 2-dimensional extended Topological Quantum Field Theory

2003/08/29 by Vishvajit V. S. Gautam, Gautam, Vishvajit V. S.
Mathematics · #18D10 #55R56 #81T45 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.CT #math.QA #msc:18D10 #msc:55R56 #msc:81T45

paper · pdf · doi:10.48550/arxiv.math/0308298

14 pages, Latex file

arxiv created 2003/08/29 · openalex publication_date 2003/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we propose a naive construction of 2-dimensional extended topological quantum field theories (TQFTs), which can be further generalized to the higher-dimension extended TQFTs.

Citations

• Topology and Higher-Dimensional Category Theory: the Rough Idea

Related

• A higher category of cobordisms and topological quantum field theory
• The Classification of Two Dimensional topological Field Theories
• Introduction to 2-dimensional Topological Quantum Field Theory
• Cochains in 2-TQFT
• Categorical Aspects of Topological Quantum Field Theories