I. A. Taimanov, “Generalised Kummer construction and the cohomology rings of <nobr>$G_2$</nobr>-manifolds”, Mat. Sb., 2018, Volume 209, Number 12,Pages <nobr>139

This article is cited in 2 papers

Generalised Kummer construction and the cohomology rings of $G_2$-manifolds

I. A. Taimanov^ab

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: 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.
Bibliography: 19 titles.

Keywords: cohomology ring, intersection ring, manifolds with $G_2$-holonomy.

UDC: 515.142.22+514.764.214

MSC: 55N45, 57R19, 53C29

Received: 25.07.2017 and 23.03.2018

DOI: 10.4213/sm8999