Difference between an orbifold and a Calabi-Yau manifold?

AI Thread Summary
An orbifold is a generalization of a manifold that allows for certain types of singularities, while a Calabi-Yau manifold is a specific type of compact, complex manifold with special geometric properties, particularly in string theory. The discussion highlights the difficulty in finding comprehensive resources on orbifolds, suggesting that Wikipedia and Mathworld may lack detailed information due to reliance on volunteer contributions. The inquiry also raises the question of how many Calabi-Yau manifolds exist within a cubic meter of space, indicating a need for further exploration of this topic. Overall, the conversation emphasizes the complexity of these mathematical concepts and the challenges in accessing reliable information. Understanding these differences is crucial for deeper studies in geometry and theoretical physics.
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Hi, here are a pair of questions that I can't find the answer:
What's the difference between an orbifold and a Calabi-Yau manifold?
How many Calabi-Yau manifolds there exist for cubic meter of space?
 
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Looks like Wikipedia and Mathworld are slightly out of their depthe too, at least on orbifolds.
 
Problem is that both sites rely on volunteers to add new material. If no one has added anyhting, you won't find it.
 

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