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arXiv · 1712.07350

Calabi-Yau hypersurfaces and SU-bordism

Ivan Limonchenko·Zhi Lu·Taras Panov
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Abstract

Batyrev constructed a family of Calabi-Yau hypersurfaces dual to the first Chern class in toric Fano varieties. Using this construction, we introduce a family of Calabi-Yau manifolds whose SU-bordism classes generate the special unitary bordism ring $\varOmega^{SU}\otimes\mathbb{Z}[\frac{1}{2}]\cong\mathbb{Z}[\frac{1}{2}][y_{i}\colon i\ge 2]$. We also describe explicit Calabi-Yau representatives for multiplicative generators of the SU-bordism ring in low dimensions.

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Ivan Limonchenko, Zhi Lu, Taras Panov. 2017-12-20. Calabi-Yau hypersurfaces and SU-bordism. https://doi.org/10.1134/s0371968518030135

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