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Introduction to Homological Mirror Symmetry

Conference paper
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Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 240)

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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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of MiamiCoral GablesUSA

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