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BlakeA
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 Popular Question
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Why is the mirror of resolved conifold the deformed conifold?
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What is the role of B-field $B \in H^2(X,\mathbb{R}/\mathbb{Z})$ in mathematics?
Yes, I am wondering if B-filed plays any role in other fileds of mathematics. It seems to me that it is added just to make the dimension of the moduli spaces the same.
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Example of Calabi-Yau 3-fold fibered by both K3 surface and abelian surface?
Thank you for the detailed answer, Jason. The construction is quite involved and I have to your post carefully.
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What is the role of B-field $B \in H^2(X,\mathbb{R}/\mathbb{Z})$ in mathematics?
revised
Why is the mirror of resolved conifold the deformed conifold?
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Example of Calabi-Yau 3-fold fibered by both K3 surface and abelian surface?
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 Editor
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Why is the mirror of resolved conifold the deformed conifold?
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 Student
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Why is the mirror of resolved conifold the deformed conifold?