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Towards Homological Mirror Symmetry

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 نشر من قبل Alessandro Imparato
 تاريخ النشر 2021
  مجال البحث
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This is an expository article on the A-side of Kontsevichs Homological Mirror Symmetry conjecture. We give first a self-contained study of $A_infty$-categories and their homological algebra, and later restrict to Fukaya categories, with particular emphasis on the basics of the underlying Floer theory, and the geometric features therein. Finally, we place the theory in the context of mirror symmetry, building towards its main predictions.



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