Calabi-Yau Hypersurfaces and SU-Bordism

被引：8

作者：

Limonchenko, Ivan Yu. ^{[1
]}

Lu, Zhi ^{[1
]}

Panov, Taras E. ^{[2
,3
,4
]}

机构：

[1] Fudan Univ, Sch Math Sci, 220 Handan Rd, Shanghai 200433, Peoples R China

[2] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

[3] Natl Res Ctr, Kurchatov Inst, Inst Theoret & Expt Phys, Bolshaya Cheremushkinskaya Ul 25, Moscow 117218, Russia

[4] Russian Acad Sci, Kharkevich Inst, Inst Informat Transmiss Problems, Bolshoi Karetnyi Per 19,Str 1, Moscow 127051, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2018年 / 302卷 / 01期

基金：

俄罗斯基础研究基金会; 中国博士后科学基金;

关键词：

D O I：

10.1134/S0081543818060135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. We also describe explicit Calabi-Yau representatives for multiplicative generators of the SU-bordism ring in low dimensions.

引用

页码：270 / 278

页数：9

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