Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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CALABI-YAU THREEFOLDS FROM BUILDING BLOCKS OF G2-MANIFOLDS

  • Lee, Nam-Hoon (Department of Mathematics Education Hongik University)
  • Received : 2017.05.05
  • Accepted : 2017.07.17
  • Published : 2017.08.15
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Abstract

We construct Calabi-Yau threefolds by smoothing normal crossing varieties, which are made from the building blocks of $G_2-manifolds$. We compute the Hodge numbers of those Calabi-Yau threefolds. Some of those Hodge number pairs ($h^{1,1}$, $h^{1,2}$) do not overlap with those of Calabi-Yau threefolds constructed in the toric setting.

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References

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