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2018 | OriginalPaper | Buchkapitel

Introduction to Homological Mirror Symmetry

verfasst von : Andrew Harder

Erschienen in: Superschool on Derived Categories and D-branes

Verlag: Springer International Publishing

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Abstract

Mirror symmetry states that to every Calabi-Yau manifold \(X\) with complex structure and symplectic symplectic structure there is another dual manifold \(X^\vee \), so that the properties of \(X\) associated to the complex structure (e.g. periods, bounded derived category of coherent sheaves) reproduce properties of \(X^\vee \) associated to its symplectic structure (e.g. counts of pseudo holomorphic curves and discs).

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Vorheriges Kapitel Introduction to Symplectic Geometry and Fukaya Category

Nächstes Kapitel The SYZ Conjecture via Homological Mirror Symmetry

One can forget the condition that X be affine, though this comes at the cost of clarity.

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Titel: Introduction to Homological Mirror Symmetry
verfasst von: Andrew Harder
Verlag: Springer International Publishing
Buch: Superschool on Derived Categories and D-branes
Print ISBN: 978-3-319-91625-5

Electronic ISBN: 978-3-319-91626-2

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-319-91626-2_12

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