Calabi-Yau tag is very relevant. Also because of the "6 open dimensions", the string - theory tag is also relevant.

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occurred Jul 14, 2013 at 14:10

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edited Jul 14, 2013 at 12:21

How exactly are Calabi-Yau compactifications done exactly?

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asked Jul 14, 2013 at 12:12

How are Calabi-Yau compactifications done exactly?

To compactify 2 open dimensions to a torus, the method of identification written down for this example as

$$ (x,y) \sim (x+2\pi R,y) $$

$$ (x,y) \sim (x, y+2\pi R) $$

can be applied.

What are the methods to compactify 6 open dimensions to a Calaby-Yau manifold and how exactly do these methods work?