Stability on the Sato Grassmannian. Applications to the moduli of vector bundles

DOI10.1016/j.geomphys.2007.11.011zbMath1133.14312OpenAlexW2153171693MaRDI QIDQ2479324

Ana Cristina Casimiro, Francisco Jose Plaza Martín, José María Muñoz Porras

Publication date: 26 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2007.11.011

zbMATH Keywords

stabilitySato GrassmannianHarder-Narasimhan filtrationmoduli of vector bundlesJordan-Hölder filtration

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Grassmannians, Schubert varieties, flag manifolds (14M15) Infinite-dimensional manifolds (58B99) Vector bundles on curves and their moduli (14H60)

Cites Work

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• Loop groups and equations of KdV type
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• Space of unitary vector bundles on a compact Riemann surface
• CATEGORY OF VECTOR BUNDLES ON ALGEBRAIC CURVES AND INFINITE DIMENSIONAL GRASSMANNIANS
• The algebraic formalism of soliton equations over arbitrary base fields
• The infinite-dimensional Sato Grassmannian and coherent sheaves of rank 2 on curves
• The Grassmannian of \(k((z))\): Picard group equations and automorphims