TQFT’s and gerbes
Copyright policy )TQFT’s and gerbes
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.
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-14.abs.html
- Instituto Superior de Espinho Portugal
- Centro de Matemática e Aplicações Portugal
Issues of holonomy in differential geometry, Mathematics - Differential Geometry, parallel transport, Topological Quantum Field Theory, 55R65, 53C29, topological quantum field theory, TQFT, Topological quantum field theories (aspects of differential topology), 53C29, Differential Geometry (math.DG), FOS: Mathematics, 55R65, gerbes, Generalizations of fiber spaces and bundles in algebraic topology
Issues of holonomy in differential geometry, Mathematics - Differential Geometry, parallel transport, Topological Quantum Field Theory, 55R65, 53C29, topological quantum field theory, TQFT, Topological quantum field theories (aspects of differential topology), 53C29, Differential Geometry (math.DG), FOS: Mathematics, 55R65, gerbes, Generalizations of fiber spaces and bundles in algebraic topology
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