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
收藏
页码：1803 / 1811
页数：9
相关论文
共 18 条
  • [1] [Anonymous], 2000, OXFORD MATH MONOGR
  • [2] [Anonymous], 1958, S INT TOP ALG INT S
  • [3] Babenko I.K., 2000, Sibirsk. Mat. Zh, V41, P253
  • [4] Massey products in symplectic manifolds
    Babenko, IK
    Taimanov, IA
    [J]. SBORNIK MATHEMATICS, 2000, 191 (7-8) : 1107 - 1146
  • [5] G2-MANIFOLDS AND ASSOCIATIVE SUBMANIFOLDS VIA SEMI-FANO 3-FOLDS
    Corti, Alessio
    Haskins, Mark
    Nordstroem, Johannes
    Pacini, Tommaso
    [J]. DUKE MATHEMATICAL JOURNAL, 2015, 164 (10) : 1971 - 2092
  • [6] REAL HOMOTOPY THEORY OF KAHLER MANIFOLDS
    DELIGNE, P
    GRIFFITHS, P
    MORGAN, J
    SULLIVAN, D
    [J]. INVENTIONES MATHEMATICAE, 1975, 29 (03) : 245 - 274
  • [7] Fernandez M., 2015, ARXIV151108930
  • [8] An 8-dimensional nonformal, simply connected, symplectic manifold
    Fernandez, Marisa
    Munoz, Vicente
    [J]. ANNALS OF MATHEMATICS, 2008, 167 (03) : 1045 - 1054
  • [9] Glezerman M., 1947, USPEHI MATEM NAUK NS, V2, P58
  • [10] Huybrechts D., 2016, CAMBRIDGE STUD ADV M, V158
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