Double Category Related to Path Space Parallel Transport and Representations of Lie 2 Groups

DOI10.1007/978-3-642-55361-5_22zbMath1321.81029OpenAlexW382794929MaRDI QIDQ5258852

Saikat Chatterjee, Ambar N. Sengupta, Amitabha Lahiri

Publication date: 24 June 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-55361-5_22

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Yang-Mills and other gauge theories in quantum field theory (81T13) Path integrals in quantum mechanics (81S40) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (2)

Wilson Surfaces for Surface Knots: A Field Theoretic Route to Higher Knots ⋮ On higher holonomy invariants in higher gauge theory I

Cites Work

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• Path space connections and categorical geometry
• Loop and path spaces and four-dimensional \(BF\) theories: connections, holonomies and observables
• Iterated integrals of differential forms and loop space homology
• Differential geometry of gerbes
• Connections on non-abelian Gerbes and their Holonomy
• Twisted actions of categorical groups
• PARALLEL TRANSPORT OVER PATH SPACES
• Higher gauge theory—differential versus integral formulation
• Bundle Gerbes
• Algebras of Iterated Path Integrals and Fundamental Groups

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