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Calabi-Yau manifolds are a class of complex, compact, Kähler manifolds that play a prominent role in advanced areas of mathematics and theoretical physics, particularly string theory and algebraic geometry. They are named after mathematicians Eugenio Calabi and Shing-Tung Yau, who made significant contributions to their study. Here are key aspects of Calabi-Yau manifolds: Complex and Kähler: Calabi-Yau manifolds are complex manifolds, meaning they can be described by complex coordinates. Additio
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