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| DC Field | Value | Language |
|---|---|---|
| dc.creator | García Prada, Oscar | - |
| dc.creator | Hernández Ruipérez, Daniel | - |
| dc.creator | Pioli, Fabio | - |
| dc.creator | Tejero, Carlos | - |
| dc.date | 2007-12-11T12:23:49Z | - |
| dc.date | 2007-12-11T12:23:49Z | - |
| dc.date | 2004-12-22 | - |
| dc.date.accessioned | 2017-01-31T00:59:27Z | - |
| dc.date.available | 2017-01-31T00:59:27Z | - |
| dc.identifier | arXiv:math/0406176v2 | - |
| dc.identifier | Journal of Geometry and Physics 55 (2005), no. 4, 353--384. | - |
| dc.identifier | 0393-0440 | - |
| dc.identifier | http://hdl.handle.net/10261/2551 | - |
| dc.identifier.uri | http://dspace.mediu.edu.my:8181/xmlui/handle/10261/2551 | - |
| dc.description | 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. | - |
| dc.description | 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. | - |
| dc.description | The authors are members of VBAC (Vector bundles on algebraic curves), which is partially supported by EAGER (EC FP5 Contract no. HPRN-CT-2000-00099) and by EDGE (EC FP5 Contract no. HPRN-CT-2000-00101). This research has been partially supported by the Italian/Spain bilateral programme Azione Integrata, IT203 ”Sheaves on Calabi-Yau manifolds and applications to integrable systems and string theory” and by the research projects BFM2003-00097 of the Spanish DGI and SA118/03 of the “Junta de Castilla y León”. | - |
| dc.description | Peer reviewed | - |
| dc.language | eng | - |
| dc.publisher | Elsevier | - |
| dc.relation | Preprint | - |
| dc.rights | openAccess | - |
| dc.subject | Algebraic Geometry | - |
| dc.subject | Differential Geometry | - |
| dc.title | Fourier-Mukai and Nahm transforms for holomorphic triples on elliptic curves | - |
| dc.type | Pre-print | - |
| Appears in Collections: | Digital Csic | |
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