The higher Riemann-Hilbert correspondence and principal 2-bundles

DOI10.1007/s40863-021-00239-yOpenAlexW3164795988WikidataQ114218305 ScholiaQ114218305MaRDI QIDQ2054959

Camilo Arias Abad, Sebastián Vélez Vásquez

Publication date: 3 December 2021

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.07941

zbMATH Keywords

iterated integralshigher dimensional holonomieshigher local systems

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Connections (general theory) (53C05) Differential geometric aspects of gerbes and differential characters (53C08)

Cites Work

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• Local theory for 2-functors on path 2-groupoids
• The higher Riemann-Hilbert correspondence
• On two-dimensional holonomy
• Parallel transport in principal 2-bundles
• Iterated path integrals
• FlatZ-graded Connections and Loop Spaces
• The colimit of an $\infty$-local system as a twisted tensor product
• Integration of $2$-term representations up to homotopy via $2$-functors
• The A∞ de Rham Theorem and Integration of Representations up to Homotopy
• Morita cohomology

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