Matrix hierarchies and vector bundles over Riemann surfaces

DOI10.1063/1.527853zbMath0707.32006OpenAlexW2093331710MaRDI QIDQ3488404

Gerardus F. Helminck

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527853

zbMATH Keywords

compact Riemann surfaceGrassmann manifoldholomorphic vector bundlesvirtual dimensional

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Compact Riemann surfaces and uniformization (30F10) Grassmannians, Schubert varieties, flag manifolds (14M15) Riemann-Roch theorems (14C40) Pseudodifferential and Fourier integral operators on manifolds (58J40) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Holomorphic bundles and generalizations (32L05)

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Cites Work

• Loop groups and equations of KdV type
• Sur La Classification Des Fibres Holomorphes Sur La Sphere de Riemann