Classical Mirror Symmetry

ISBN-13: 9789811300554 / Angielski / Miękka / 2018 / 140 str.

Masao Jinzenji

Opis

This book furnishes a brief introduction to classical mirror symmetry, a term that denotes the process of computing Gromov-Witten invariants of a Calabi-Yau threefold by using the Picard-Fuchs differential equation of period integrals of its mirror Calabi-Yau threefold.

Recenzje

"Graduate students - or other researchers - in theoretical physics with an interest in the mathematical aspects of mirror symmetry form a natural audience for this text." (Thomas Prince, zbMATH 1431.14034, 2020)

Spis treści

1. Brief Introduction of Mirror Symmetry.- 2. Topological Sigma Models (A-Model and B-Model).- 3. Basics of Geometry of Complex Manifolds.- 4. Detailed Computation of B-Model Prediction.- 5. Moduli space of Holomorphic Maps from CP^1 to CP^{N-1}.- 6. Localization Computation.- 7. Brief Outline of Direct Proof of Mirror Theorem.