Fourier Mukai Transforms and Applications to String Theory
Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat, 99 (1) (2005) 29-77 We 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 transfo...
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| creator | Andreas, Bjorn Ruiperez, Daniel Hernandez |
| description | Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat, 99 (1) (2005)
29-77 We 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. |
| doi_str_mv | 10.48550/arxiv.math/0412328 |
| format | Article |
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29-77 We 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.</description><identifier>DOI: 10.48550/arxiv.math/0412328</identifier><language>eng</language><subject>Mathematics - Algebraic Geometry ; Physics - High Energy Physics - Theory</subject><creationdate>2004-12</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,882</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/math/0412328$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.math/0412328$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Andreas, Bjorn</creatorcontrib><creatorcontrib>Ruiperez, Daniel Hernandez</creatorcontrib><title>Fourier Mukai Transforms and Applications to String Theory</title><description>Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat, 99 (1) (2005)
29-77 We 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.</description><subject>Mathematics - Algebraic Geometry</subject><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2004</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj71uwjAYRb10qGifoIv7AAH_EocNodIigRjIHl0-4mJB4sgJVXn7lpbp6C5H9zD2IsXYOGvFBOk7fI0bDMeJMFJp5R7ZbBkvKdSJby4nBF4mtL2Pqek52gOfd905EIYQ254Pke-GFNpPXh7rmK5P7MHj3NfPd45YuXwrFx_Zevu-WszXGXLpMkdGFwbKW-3lHhKkhSEviqkDOXgg1-QKYYuDNnsCTE41_U41JWuV0iP2-q_9u191KTRI1-qWUd0z9A_0m0Rm</recordid><startdate>20041216</startdate><enddate>20041216</enddate><creator>Andreas, Bjorn</creator><creator>Ruiperez, Daniel Hernandez</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20041216</creationdate><title>Fourier Mukai Transforms and Applications to String Theory</title><author>Andreas, Bjorn ; Ruiperez, Daniel Hernandez</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a718-8c4394a2f53f1ba1ac304cf0968ac8afaa73c89059d34bcaa47cec05926c55223</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Mathematics - Algebraic Geometry</topic><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Andreas, Bjorn</creatorcontrib><creatorcontrib>Ruiperez, Daniel Hernandez</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Andreas, Bjorn</au><au>Ruiperez, Daniel Hernandez</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fourier Mukai Transforms and Applications to String Theory</atitle><date>2004-12-16</date><risdate>2004</risdate><abstract>Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat, 99 (1) (2005)
29-77 We 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.</abstract><doi>10.48550/arxiv.math/0412328</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry Physics - High Energy Physics - Theory |
| title | Fourier Mukai Transforms and Applications to String Theory |
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