Authors: | Limonchenko, Ivan Lü, Zhi Panov, Taras E. |
Title: | Calabi Yau Hypersurfaces and SU-Bordism | Journal: | Proceedings of the Steklov Institute of Mathematics | Volume: | 302 | First page: | 270 | Last page: | 278 | Issue Date: | 2018 | Rank: | M22 | ISSN: | 0081-5438 | DOI: | 10.1134/S0081543818060135 | 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 ΩSU[12]≅Z[12][yi:i≥2]. We also describe explicit Calabi–Yau representatives for multiplicative generators of the SU-bordism ring in low dimensions. |
Publisher: | Springer Link |
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