Generalised Kummer construction and the cohomology rings of G2-manifolds

被引：2

作者：

Taimanov, I. A. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk, Russia

[2] Novosibirsk Natl Res State Univ, Novosibirsk, Russia

来源：

SBORNIK MATHEMATICS | 2018年 / 209卷 / 12期

基金：

俄罗斯科学基金会;

关键词：

cohomology ring; intersection ring; manifolds with G(2)-holonomy; COMPACT; 8-MANIFOLDS;

D O I：

10.1070/SM8999

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Intersection theory is used to calculate the cohomology rings of G(2)-manifolds arising from the generalised Kummer construction. For one example, generators of the rational cohomology ring are found and their multiplication table is described.

引用

页码：1803 / 1811

页数：9

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