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Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry
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UNSPECIFIED (2001) Diffeomorphisms and families of Fourier-Mukai transforms in mirror symmetry. In: NATO Advanced Research Workshop on Applications of Algebraic Geometry to Coding Theory, Physics and Computation, ELAT, ISRAEL, FEB 25-MAR 01, 2001. Published in: APPLICATIONS OF ALGEBRAIC GEOMETRY TO CODING THEORY, PHYSICS AND COMPUTATION, 36 pp. 317-337. ISBN 1-4020-0004-9.
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Abstract
Assuming the standard framework of mirror symmetry, a conjecture is formulated describing how the diffeomorphism group of a Calabi-Yau manifold Y should act by families of Fourier-Mukai transforms over the complex moduli space of the mirror X. The conjecture generalizes a proposal of Kontsevich relating monodromy transformations and self-equivalences, Supporting evidence is given in the case of elliptic curves, lattice-polarized K3 surfaces and Calabi-Yau threefolds. A relation to the global Torelli problem is discussed.
Item Type: | Conference Item (UNSPECIFIED) | ||||
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Subjects: | Q Science > QD Chemistry Q Science > QA Mathematics Q Science > QC Physics |
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Series Name: | NATO SCIENCE SERIES, SERIES II: MATHEMATICS, PHYSICS AND CHEMISTRY | ||||
Journal or Publication Title: | APPLICATIONS OF ALGEBRAIC GEOMETRY TO CODING THEORY, PHYSICS AND COMPUTATION | ||||
Publisher: | SPRINGER | ||||
ISBN: | 1-4020-0004-9 | ||||
Editor: | Ciliberto, C and Hirzebruch, F and Miranda, R and Teicher, M | ||||
Official Date: | 2001 | ||||
Dates: |
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Volume: | 36 | ||||
Number of Pages: | 21 | ||||
Page Range: | pp. 317-337 | ||||
Publication Status: | Published | ||||
Title of Event: | NATO Advanced Research Workshop on Applications of Algebraic Geometry to Coding Theory, Physics and Computation | ||||
Location of Event: | ELAT, ISRAEL | ||||
Date(s) of Event: | FEB 25-MAR 01, 2001 |
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