Abstract
V. V. 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 \({\Omega ^{SU}}[\frac{1}{2}] \cong Z[\frac{1}{2}][{y_i}:i \geqslant 2]\). We also describe explicit Calabi–Yau representatives for multiplicative generators of the SU-bordism ring in low dimensions.
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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Vol. 302, pp. 287–295.
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Limonchenko, I.Y., Lü, Z. & Panov, T.E. Calabi Yau Hypersurfaces and SU-Bordism. Proc. Steklov Inst. Math. 302, 270–278 (2018). https://doi.org/10.1134/S0081543818060135
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DOI: https://doi.org/10.1134/S0081543818060135