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

共 50 条

[31] Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
Ashmore, A.
He, Y-H.
Heyes, E.
Ovrut, B. A.
JOURNAL OF HIGH ENERGY PHYSICS, 2023, 2023 (07)
[32] On the Chow group of zero-cycles of Calabi-Yau hypersurfaces
Bazhov, Ivan
MANUSCRIPTA MATHEMATICA, 2017, 152 (1-2) : 189 - 197
[33] MIRROR SYMMETRY, MIRROR MAP AND APPLICATIONS TO CALABI-YAU HYPERSURFACES
HOSONO, S
KLEMM, A
THEISEN, S
YAU, ST
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 167 (02) : 301 - 350
[34] Toric Calabi-Yau hypersurfaces fibered by weighted K3 hypersurfaces
Mullet, Joshua P.
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2009, 17 (01) : 107 - 138
[35] CALABI-YAU HYPERSURFACES IN PRODUCTS OF SEMI-AMPLE SURFACES
GREEN, P
HUBSCH, T
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 115 (02) : 231 - 246
[36] Distinguished-root formulas for generalized Calabi-Yau hypersurfaces
Adolphson, Alan
Sperber, Steven
ALGEBRA & NUMBER THEORY, 2017, 11 (06) : 1317 - 1356
[37] Open mirror symmetry for higher dimensional Calabi-Yau hypersurfaces
Honma, Yoshinori
Manabe, Masahide
JOURNAL OF HIGH ENERGY PHYSICS, 2016, (03):
[38] Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
A. Ashmore
Y-H. He
E. Heyes
B. A. Ovrut
Journal of High Energy Physics, 2023
[39] Open mirror symmetry for higher dimensional Calabi-Yau hypersurfaces
Yoshinori Honma
Masahide Manabe
Journal of High Energy Physics, 2016
[40] CONNER,PE - TORSION IN SU-BORDISM
GERL, P
MONATSHEFTE FUR MATHEMATIK, 1966, 70 (05): : 469 - &

← 1 2 3 4 5 →