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, FEB 25-MAR 01, 2001, ELAT, ISRAEL.

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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)
Subjects:	Q Science > QD Chemistry Q Science > QA Mathematics Q Science > QC Physics
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
Date:	2001
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
URI:	http://wrap.warwick.ac.uk/id/eprint/10240

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