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The Riemann-Hilbert problem in loop spaces

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Publication:492340
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DOI10.1134/S1064562406020281zbMath1327.35291OpenAlexW2068638225MaRDI QIDQ492340

G. K. Giorgadze, G. N. Khimshiashvili

Publication date: 20 August 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562406020281



Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Boundary value problems in the complex plane (30E25) Riemann-Hilbert problems in context of PDEs (35Q15) Inverse problems (Riemann-Hilbert, inverse differential Galois, etc.) for ordinary differential equations in the complex domain (34M50)


Related Items

Boundary-value problems with shift and Beltrami systems ⋮ Singular generalized analytic functions ⋮ On some constructive methods for the matrix Riemann-Hilbert boundary-value problem ⋮ On the splitting type of holomorphic vector bundles induced from regular systems of differential equation



Cites Work

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  • Instantons in two and four dimensions
  • Pseudo holomorphic curves in symplectic manifolds
  • Loop spaces as complex manifolds
  • \(G\)-systems and holomorphic principal bundles on Riemann surfaces
  • Matrix factorizations and integrable systems
  • Loop spaces, characteristic classes and geometric quantization
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