Work

TQFT’s and gerbes

Year: 2004

Type: article

Abstract: We generalize the notion of parallel transport along paths for abelian bundles to parallel transport along surfaces for abelian gerbes using an embedded Topological Quantum Field Theory (TQFT) approach.We show both for bundles and gerbes with connection that there is a one-to-one correspondence between their local description in terms of locally-defined functions and forms and their non-local description in terms of a suitable class of embedded TQFT's.

Source: Algebraic & Geometric Topology

DOI: 10.2140/agt.2004.4.243

Author: Roger Picken

Institutions: Instituto Superior Técnico, Centro de Matemática Computacional e Estocástica

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Strong, Fundação para a Ciência e a Tecnologia

OpenAlex ID: W2066560266