Flat gauge fields and the Riemann-Hilbert correspondence

DOI10.1016/S0034-4877(20)30071-9zbMath1474.53331arXiv1912.01239OpenAlexW3096754034MaRDI QIDQ2210555

Andrés Viña

Publication date: 7 November 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01239

zbMATH Keywords

Riemann-Hilbert correspondenceAharonov-Bohm effect\(D\)-modulesflat connections\(B\)-branes

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of differential geometry to physics (53Z05) Sheaves of differential operators and their modules, (D)-modules (32C38) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

• Gauge symmetries and fibre bundles. Applications to particle dynamics
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• Fortsetzungssätze der komplex-analytischen Cohomologie und ihre algebraische Charakterisierung
• Equations différentielles à points singuliers réguliers
• Lectures on Seiberg-Witten invariants
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