On higher holonomy invariants in higher gauge theory I

Abstract

This is the first 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. For a flat 2--connection, we define the 2-holonomy of surface knots of arbitrary genus and determine its covariance properties under 1--gauge transformation and change of base data.

Latex, 90 pages, 5 figures. Figures may take up to a few seconds to be loaded

References in corpus (8)

• Higher Gauge Theory: 2-Connections on 2-Bundles
• Higher Yang-Mills Theory
• General Yang-Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical framework OR From Bianchi identities to twisted Courant algebroids
• 4-d semistrict higher Chern-Simons theory I
• On higher holonomy invariants in higher gauge theory II
• Holonomies for connections with values in L-infinity algebras
• Transgression forms as source for topological gravity and Chern-Simons-Higgs theories
• Lie 2-Algebras

Cited by in corpus (8)

• 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 II
• Higher Gauge Theory
• Wilson Surfaces for Surface Knots
• 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