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arXiv · 1501.00730

An Introduction to Homological Mirror Symmetry and the Case of Elliptic Curves

Andrew Port
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Abstract

Here we carefully construct an equivalence between the derived category of coherent sheaves on an elliptic curve and a version of the Fukaya category on its mirror. This is the most accessible case of homological mirror symmetry. We also provide introductory background on the general Calabi-Yau case of The Homological Mirror Symmetry Conjecture.

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Andrew Port. 2015-01-04. An Introduction to Homological Mirror Symmetry and the Case of Elliptic Curves. https://arxiv.org/abs/1501.00730

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