Generalised Kummer construction and the cohomology rings of G 2 -manifolds

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Abstract

Intersection theory is used to calculate the cohomology rings of G2-manifolds arising from the generalised Kummer construction. For one example, generators of the rational cohomology ring are found and their multiplication table is described.

Original languageEnglish
Pages (from-to)1803-1811
Number of pages9
JournalSbornik Mathematics
Volume209
Issue number12
DOIs
Publication statusPublished - 1 Dec 2018

Keywords

  • Cohomology ring
  • Intersection ring
  • Manifolds with G2-holonomy

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