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Sbornik: Mathematics, 2018, Volume 209, Issue 12, Pages 1803–1811
DOI: https://doi.org/10.1070/SM8999 (Mi sm8999) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

I. A. Taimanovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
English version PDF (435 kB) Citations (2)
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DOI: https://doi.org/10.1070/SM8999
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.
Funding agency Grant number
Russian Science Foundation 14-11-00441
This research was supported by the Russian Science Foundation under grant no. 14-11-00441.
Received: 25.07.2017 and 23.03.2018
Russian version:
Matematicheskii Sbornik, 2018, Volume 209, Number 12, Pages 139–148
DOI: https://doi.org/10.4213/sm8999
Bibliographic databases:
Document Type: Article
UDC: 515.142.22+514.764.214
MSC: 55N45, 57R19, 53C29
Language: English
Original paper language: Russian
Citation: I. A. Taimanov, “Generalised Kummer construction and the cohomology rings of $G_2$-manifolds”, Mat. Sb., 209:12 (2018), 139–148; Sb. Math., 209:12 (2018), 1803–1811
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
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    References:61
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