Fourier Mukai Transforms and Applications to String Theory

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dc.creatorAndreas, Bjorn
dc.creatorRuiperez, Daniel Hernandez
dc.date2004-12-16
dc.date2005-01-18
dc.date.accessioned2026-07-07T07:53:13Z
dc.date.available2026-07-07T07:53:13Z
dc.descriptionWe give an introductory review of Fourier-Mukai transforms and their application to various aspects of moduli problems, string theory and mirror symmetry. We develop the necessary mathematical background for Fourier-Mukai transforms such as aspects of derived categories and integral functors as well as their relative version which becomes important for making precise the notion of fiberwise T-duality on elliptic Calabi-Yau threefolds. We discuss various applications of the Fourier-Mukai transform to D-branes on Calabi-Yau manifolds as well as homological mirror symmetry and the construction of vector bundles for heterotic string theory.
dc.description52 pages. To appear in Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. Minor changes, reference of conjecture in section 7.5 changed, references updated
dc.identifierhttps://arxiv.org/abs/math/0412328
dc.identifierhttp://arxiv.org/abs/math/0412328
dc.identifierRev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat, 99 (1) (2005) 29-77
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126172
dc.subjectAlgebraic Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject14J60, 14J32, 18E30, 81T30, 83E30
dc.titleFourier Mukai Transforms and Applications to String Theory
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