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Showing 1 to 5 of 5 for “"Homological Mirror Symmetry"”.
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Homological mirror symmetry for a Calabi-Yau hypersurface in projective space
This thesis is concerned with Kontsevich's Homological Mirror Symmetry conjecture. In Chapter 1, which is based on [1], we consider the n-dimensional pair of pants, which is defined to be the complement of n + 2 generic hyperplanes in CPn. The pair of pants is conjectured to be mirror to the …
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On Berglund-Hübsch-Krawitz Mirror Symmetry
… that have Berglund-Hübsch-Krawitz (BHK) mirrors. These Calabi-Yau orbifolds are certain finite symplectic quotients of hypersurfaces in weighted-projective space. First, we will describe their birational geometry using Shioda maps and prove that so-called alternate mirrors are birational. …
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Toric mirror symmetry and GIT windows
… based on the author's joint work [HZ20], studies mirror symmetry for toric varieties from the perspective of geometric invariant theory. We translate GIT constructions of toric varieties into skeletal terms and study them in the context of wrapped Fukaya categories and wrapped constructible …
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Computations in monotone Floer theory
… recently it has become a major component of the Homological Mirror Symmetry conjecture. This work presents several new computations in Floer theory which combine the use of geometric symmetries, naturally arising in various contexts, with advanced algebraic structures related to Floer theory, …
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Dualities and Categorical Structures from 2D Up
… specifically, holographic duality, homological mirror symmetry, and 3D mirror symmetry. As we shall see, the common ground in between the two paths taken in this treatment is the role played by amplitutdes in studying fundamental interactions and the properties of the vacuum …