Path space connections and categorical geometry

DOI10.1016/j.geomphys.2013.09.006zbMath1280.81087arXiv1207.5488OpenAlexW1995505803MaRDI QIDQ391163

Amitabha Lahiri, Ambar N. Sengupta, Saikat Chatterjee

Publication date: 10 January 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5488

zbMATH Keywords

connectionscategory theorybundlespath spaces

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Path integrals in quantum mechanics (81S40) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items

Atiyah sequence and gauge transformations of a principal 2-bundle over a Lie groupoid ⋮ Non-abelian higher gauge theory and categorical bundle ⋮ Twisted-product categorical bundles ⋮ Unnamed Item ⋮ Principal bundle groupoids, their gauge group and their nerve ⋮ Two-dimensional algebra in lattice gauge theory ⋮ Gauge transformations for categorical bundles ⋮ Double Category Related to Path Space Parallel Transport and Representations of Lie 2 Groups

Cites Work

• Unnamed Item
• Unnamed Item
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• Non-abelian higher gauge theory and categorical bundle
• Surface holonomy for non-Abelian 2-bundles via double groupoids
• Holonomy and path structures in general relativity and Yang-Mills theory
• Parallel transport and functors
• Category theory. Applications to algebra, logic and topology. Proceedings of the International Conference held at Gummersbach, July 6--10, 1981
• Higher algebraic structures and quantization
• Teleparallel gravity as a higher gauge theory
• Über Identitäten zwischen Relationen
• Connections on non-abelian Gerbes and their Holonomy
• Principal 2-bundles and their gauge 2-groups
• On two-dimensional holonomy
• PARALLEL TRANSPORT OVER PATH SPACES
• Two-dimensional Markovian holonomy fields
• AN AXIOMATIC DEFINITION OF HOLONOMY
• Category Theory
• Combinatorial homotopy. II