Complex Lagrangian embeddings of moduli spaces of vector bundles

Details Complex Lagrangian embeddings of moduli spaces of vector bundles Complex Lagrangian embeddings of moduli spaces of vector bundles

2000-10-26

arxiv.org/abs/math/0010249v1

Diff. Geom. Appl., 14 (2001) 151-156

Mathematics

Algebraic Geometry

9 pages, no figures, to appear in Diff. Geom. Appl

Scientific paper

By means of a Fourier-Mukai transform we embed moduli spaces of stable
bundles on an algebraic curve C as isotropic subvarieties of moduli spaces of
mu-stable bundles on the Jacobian variety J(C). When g(C)=2 this provides new
examples of special Lagrangian submanifolds.

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