This article is cited in 2 papers

Geometry and topology

On the rational cohomology ring of a certain $G_2$-manifold

I. V. Fedorov

Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia

Abstract: We compute the rational cohomology ring of a certain $G_2$-manifold constructed by Joyce.

Keywords: $G_2$-manifold, cohomology ring, intersection theory.

UDC: 515.165.7

MSC: 53C26

Received June 17, 2018, published December 9, 2018

DOI: 10.33048/semi.2018.15.133

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