On higher holonomy invariants in higher gauge theory II

Abstract

This is the second of a series of two technical papers devoted to the analysis of holonomy invariants in strict higher gauge theory with end applications in higher Chern--Simons theory. We provide a definition of trace over a crossed module such to yield surface knot invariants upon application to 2-holonomies. We show further that the properties of the trace are best described using the theory quandle crossed modules.

Latex, 34 pages, no figures

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Cited by in corpus (7)

• 4-d Chern-Simons Theory: Higher Gauge Symmetry and Holographic Aspects
• A Lie based 4-dimensional higher Chern-Simons theory
• Algebraic formulation of higher gauge theory
• On higher holonomy invariants in higher gauge theory I
• Higher Gauge Theory
• Quantum field theoretic representation of Wilson surfaces: I higher coadjoint orbit theory
• Quantum field theoretic representation of Wilson surfaces: II higher topological coadjoint orbit model