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Titlebook: Classical Mirror Symmetry; Masao Jinzenji Book 2018 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd., part of

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,Reconstruction of Mirror Symmetry Hypothesis from a Geometrical Point of View, the geometrical meaning of the coordinate transformation induced by the mirror map .. In some sense, discussions in this chapter correspond to mathematical justification of the mirror symmetry hypothesis in the case of a quintic hypersurface in ., which was rigorously done in the celebrated works b
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https://doi.org/10.1007/978-981-10-3256-1 the B-twist of the supersymmetric sigma model and explain that Yukawa coupling associated with complex structure deformation of a Calabi–Yau 3-fold . can be regarded as a three-point correlation function of the B-model on ..
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Basics of Geometry of Complex Manifolds,st, we introduce the definition of complex manifolds and holomorphic vector bundles on complex manifolds. We also discuss Chern classes of holomorphic vector bundles. Then we introduce K.hler manifolds, which play a central role in geometry of complex manifolds, and explain various characteristics o
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Topological Sigma Models,f topological field theory. There are two types of topological sigma models, both of which are obtained from the . supersymmetric sigma model through an operation called “topological twist”. This distinction comes from the differences in the topological twist. We call these two types A-model and B-m
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,Reconstruction of Mirror Symmetry Hypothesis from a Geometrical Point of View,om the point of view of geometry of the moduli space of degree . holomorphic maps from . to .. First, we naively compactify the moduli space into . and compute the corresponding instanton correction. Next, we introduce a refined moduli space ., which is the compactified moduli space of degree . poly
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