Moduli Spaces of (co)closed $\mathrm{G}_2$-structures on nilmanifolds
arXiv (Cornell University)(2023)
摘要
We compute the dimensions of the moduli spaces of left-invariant closed and coclosed $\mathrm{G}_2$-structures on 7-dimensional nilmanifolds, showing that they are not related to the third Betti number. We also prove that the group of automorphisms of a coclosed $\mathrm{G}_2$-structure is not abelian, in general.
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关键词
moduli spaces,nilmanifolds
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