A compact non‐formal closed G2 manifold with b1=1$b_1=1$

Lucía Martín‐Merchán

Mathematische Nachrichten, 2022, vol. 295, issue 8, 1562-1590

Abstract: We construct a compact manifold with a closed G2 structure not admitting any torsion‐free G2 structure, which is non‐formal and has first Betti number b1=1$b_1=1$. We develop a method of resolution for orbifolds that arise as a quotient M/Z2$M/{{\mathbb {Z}}_2}$ with M a closed G2 manifold under the assumption that the singular locus carries a nowhere‐vanishing closed 1‐form.

Date: 2022
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https://doi.org/10.1002/mana.202000452

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