Geodesic
Calabi--Yau hypersurfaces and SU-bordism
Informatics and Automation, Topology and physics, Tome 302 (2018), pp. 287-295.

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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 $\mathrm {SU}$-bordism classes generate the special unitary bordism ring $\varOmega ^{\mathrm {SU}}\bigl [\tfrac 12\bigr ]\cong \mathbb {Z}\bigl [\tfrac 12\bigr ][y_i\colon i\ge 2]$. We also describe explicit Calabi–Yau representatives for multiplicative generators of the $\mathrm {SU}$-bordism ring in low dimensions.
Keywords: special unitary bordism, SU-manifold, Calabi–Yau manifold, Chern number, toric Fano variety, reflexive polytope. 
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Ivan Yu. Limonchenko; Zhi Lü; Taras E. Panov. Calabi--Yau hypersurfaces and SU-bordism. Informatics and Automation, Topology and physics, Tome 302 (2018), pp. 287-295. http://geodesic.mathdoc.fr/item/TRSPY_2018_302_a12/

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