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Título: | Fourier-Mukai and Nahm transforms for holomorphic triples on elliptic curves |
Autor: | García Prada, Oscar; Hernández Ruipérez, Daniel; Pioli, Fabio; Tejero, Carlos | Palabras clave: | Algebraic Geometry Differential Geometry |
Fecha de publicación: | 22-dic-2004 | Editor: | Elsevier | Citación: | arXiv:math/0406176v2 Journal of Geometry and Physics 55 (2005), no. 4, 353--384. |
Resumen: | We define a Fourier-Mukai transform for a triple consisting of two holomorphic vector bundles over an elliptic curve and a homomorphism between them. We prove that in some cases the transform preserves the natural stability condition for a triple. We also define a Nahm transform for solutions to natural gauge-theoretic equations on a triple -- vortices -- and explore some of its basic properties. Our approach combines direct methods with dimensional reduction techniques, relating triples over a curve with vector bundles over the product of the curve with the complex projective line. | Descripción: | 39 pages, LaTeX2e, no figures; new proofs added in Version nr. 2, some arguments rewritten and typos corrected. Final version to appear in Journal of Geometry and Physics. | URI: | http://hdl.handle.net/10261/2551 | ISSN: | 0393-0440 |
Aparece en las colecciones: | (ICMAT) Artículos |
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