The generalized Kummer construction and the cohomology rings of $G_2$-manifolds

Abstract

We demonstrate how by using the intersection theory to calculate the cohomology of $G_2$-manifolds constructed by using the generalized Kummer construction. For one example we find the generators of the rational cohomology ring and describe the product structure.

12 pages

Cited by in corpus (1)

• On the formality problem for manifolds with special holonomy